1,1,311,0,2.602105," ","integrate((d*x+c)**4*cosh(b*x+a),x)","\begin{cases} \frac{c^{4} \sinh{\left(a + b x \right)}}{b} + \frac{4 c^{3} d x \sinh{\left(a + b x \right)}}{b} + \frac{6 c^{2} d^{2} x^{2} \sinh{\left(a + b x \right)}}{b} + \frac{4 c d^{3} x^{3} \sinh{\left(a + b x \right)}}{b} + \frac{d^{4} x^{4} \sinh{\left(a + b x \right)}}{b} - \frac{4 c^{3} d \cosh{\left(a + b x \right)}}{b^{2}} - \frac{12 c^{2} d^{2} x \cosh{\left(a + b x \right)}}{b^{2}} - \frac{12 c d^{3} x^{2} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{4 d^{4} x^{3} \cosh{\left(a + b x \right)}}{b^{2}} + \frac{12 c^{2} d^{2} \sinh{\left(a + b x \right)}}{b^{3}} + \frac{24 c d^{3} x \sinh{\left(a + b x \right)}}{b^{3}} + \frac{12 d^{4} x^{2} \sinh{\left(a + b x \right)}}{b^{3}} - \frac{24 c d^{3} \cosh{\left(a + b x \right)}}{b^{4}} - \frac{24 d^{4} x \cosh{\left(a + b x \right)}}{b^{4}} + \frac{24 d^{4} \sinh{\left(a + b x \right)}}{b^{5}} & \text{for}\: b \neq 0 \\\left(c^{4} x + 2 c^{3} d x^{2} + 2 c^{2} d^{2} x^{3} + c d^{3} x^{4} + \frac{d^{4} x^{5}}{5}\right) \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**4*sinh(a + b*x)/b + 4*c**3*d*x*sinh(a + b*x)/b + 6*c**2*d**2*x**2*sinh(a + b*x)/b + 4*c*d**3*x**3*sinh(a + b*x)/b + d**4*x**4*sinh(a + b*x)/b - 4*c**3*d*cosh(a + b*x)/b**2 - 12*c**2*d**2*x*cosh(a + b*x)/b**2 - 12*c*d**3*x**2*cosh(a + b*x)/b**2 - 4*d**4*x**3*cosh(a + b*x)/b**2 + 12*c**2*d**2*sinh(a + b*x)/b**3 + 24*c*d**3*x*sinh(a + b*x)/b**3 + 12*d**4*x**2*sinh(a + b*x)/b**3 - 24*c*d**3*cosh(a + b*x)/b**4 - 24*d**4*x*cosh(a + b*x)/b**4 + 24*d**4*sinh(a + b*x)/b**5, Ne(b, 0)), ((c**4*x + 2*c**3*d*x**2 + 2*c**2*d**2*x**3 + c*d**3*x**4 + d**4*x**5/5)*cosh(a), True))","A",0
2,1,202,0,1.262215," ","integrate((d*x+c)**3*cosh(b*x+a),x)","\begin{cases} \frac{c^{3} \sinh{\left(a + b x \right)}}{b} + \frac{3 c^{2} d x \sinh{\left(a + b x \right)}}{b} + \frac{3 c d^{2} x^{2} \sinh{\left(a + b x \right)}}{b} + \frac{d^{3} x^{3} \sinh{\left(a + b x \right)}}{b} - \frac{3 c^{2} d \cosh{\left(a + b x \right)}}{b^{2}} - \frac{6 c d^{2} x \cosh{\left(a + b x \right)}}{b^{2}} - \frac{3 d^{3} x^{2} \cosh{\left(a + b x \right)}}{b^{2}} + \frac{6 c d^{2} \sinh{\left(a + b x \right)}}{b^{3}} + \frac{6 d^{3} x \sinh{\left(a + b x \right)}}{b^{3}} - \frac{6 d^{3} \cosh{\left(a + b x \right)}}{b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**3*sinh(a + b*x)/b + 3*c**2*d*x*sinh(a + b*x)/b + 3*c*d**2*x**2*sinh(a + b*x)/b + d**3*x**3*sinh(a + b*x)/b - 3*c**2*d*cosh(a + b*x)/b**2 - 6*c*d**2*x*cosh(a + b*x)/b**2 - 3*d**3*x**2*cosh(a + b*x)/b**2 + 6*c*d**2*sinh(a + b*x)/b**3 + 6*d**3*x*sinh(a + b*x)/b**3 - 6*d**3*cosh(a + b*x)/b**4, Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*cosh(a), True))","A",0
3,1,112,0,0.559225," ","integrate((d*x+c)**2*cosh(b*x+a),x)","\begin{cases} \frac{c^{2} \sinh{\left(a + b x \right)}}{b} + \frac{2 c d x \sinh{\left(a + b x \right)}}{b} + \frac{d^{2} x^{2} \sinh{\left(a + b x \right)}}{b} - \frac{2 c d \cosh{\left(a + b x \right)}}{b^{2}} - \frac{2 d^{2} x \cosh{\left(a + b x \right)}}{b^{2}} + \frac{2 d^{2} \sinh{\left(a + b x \right)}}{b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**2*sinh(a + b*x)/b + 2*c*d*x*sinh(a + b*x)/b + d**2*x**2*sinh(a + b*x)/b - 2*c*d*cosh(a + b*x)/b**2 - 2*d**2*x*cosh(a + b*x)/b**2 + 2*d**2*sinh(a + b*x)/b**3, Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*cosh(a), True))","A",0
4,1,46,0,0.226620," ","integrate((d*x+c)*cosh(b*x+a),x)","\begin{cases} \frac{c \sinh{\left(a + b x \right)}}{b} + \frac{d x \sinh{\left(a + b x \right)}}{b} - \frac{d \cosh{\left(a + b x \right)}}{b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \cosh{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*sinh(a + b*x)/b + d*x*sinh(a + b*x)/b - d*cosh(a + b*x)/b**2, Ne(b, 0)), ((c*x + d*x**2/2)*cosh(a), True))","A",0
5,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c),x)","\int \frac{\cosh{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x), x)","F",0
6,-1,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-1,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,1,660,0,4.710252," ","integrate((d*x+c)**4*cosh(b*x+a)**2,x)","\begin{cases} - \frac{c^{4} x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c^{4} x \cosh^{2}{\left(a + b x \right)}}{2} - c^{3} d x^{2} \sinh^{2}{\left(a + b x \right)} + c^{3} d x^{2} \cosh^{2}{\left(a + b x \right)} - c^{2} d^{2} x^{3} \sinh^{2}{\left(a + b x \right)} + c^{2} d^{2} x^{3} \cosh^{2}{\left(a + b x \right)} - \frac{c d^{3} x^{4} \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c d^{3} x^{4} \cosh^{2}{\left(a + b x \right)}}{2} - \frac{d^{4} x^{5} \sinh^{2}{\left(a + b x \right)}}{10} + \frac{d^{4} x^{5} \cosh^{2}{\left(a + b x \right)}}{10} + \frac{c^{4} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{2 c^{3} d x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} + \frac{3 c^{2} d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} + \frac{2 c d^{3} x^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} + \frac{d^{4} x^{4} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} - \frac{c^{3} d \cosh^{2}{\left(a + b x \right)}}{b^{2}} - \frac{3 c^{2} d^{2} x \sinh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{3 c^{2} d^{2} x \cosh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{3 c d^{3} x^{2} \sinh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{3 c d^{3} x^{2} \cosh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{d^{4} x^{3} \sinh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{d^{4} x^{3} \cosh^{2}{\left(a + b x \right)}}{2 b^{2}} + \frac{3 c^{2} d^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b^{3}} + \frac{3 c d^{3} x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{3}} + \frac{3 d^{4} x^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b^{3}} - \frac{3 c d^{3} \cosh^{2}{\left(a + b x \right)}}{2 b^{4}} - \frac{3 d^{4} x \sinh^{2}{\left(a + b x \right)}}{4 b^{4}} - \frac{3 d^{4} x \cosh^{2}{\left(a + b x \right)}}{4 b^{4}} + \frac{3 d^{4} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{5}} & \text{for}\: b \neq 0 \\\left(c^{4} x + 2 c^{3} d x^{2} + 2 c^{2} d^{2} x^{3} + c d^{3} x^{4} + \frac{d^{4} x^{5}}{5}\right) \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-c**4*x*sinh(a + b*x)**2/2 + c**4*x*cosh(a + b*x)**2/2 - c**3*d*x**2*sinh(a + b*x)**2 + c**3*d*x**2*cosh(a + b*x)**2 - c**2*d**2*x**3*sinh(a + b*x)**2 + c**2*d**2*x**3*cosh(a + b*x)**2 - c*d**3*x**4*sinh(a + b*x)**2/2 + c*d**3*x**4*cosh(a + b*x)**2/2 - d**4*x**5*sinh(a + b*x)**2/10 + d**4*x**5*cosh(a + b*x)**2/10 + c**4*sinh(a + b*x)*cosh(a + b*x)/(2*b) + 2*c**3*d*x*sinh(a + b*x)*cosh(a + b*x)/b + 3*c**2*d**2*x**2*sinh(a + b*x)*cosh(a + b*x)/b + 2*c*d**3*x**3*sinh(a + b*x)*cosh(a + b*x)/b + d**4*x**4*sinh(a + b*x)*cosh(a + b*x)/(2*b) - c**3*d*cosh(a + b*x)**2/b**2 - 3*c**2*d**2*x*sinh(a + b*x)**2/(2*b**2) - 3*c**2*d**2*x*cosh(a + b*x)**2/(2*b**2) - 3*c*d**3*x**2*sinh(a + b*x)**2/(2*b**2) - 3*c*d**3*x**2*cosh(a + b*x)**2/(2*b**2) - d**4*x**3*sinh(a + b*x)**2/(2*b**2) - d**4*x**3*cosh(a + b*x)**2/(2*b**2) + 3*c**2*d**2*sinh(a + b*x)*cosh(a + b*x)/(2*b**3) + 3*c*d**3*x*sinh(a + b*x)*cosh(a + b*x)/b**3 + 3*d**4*x**2*sinh(a + b*x)*cosh(a + b*x)/(2*b**3) - 3*c*d**3*cosh(a + b*x)**2/(2*b**4) - 3*d**4*x*sinh(a + b*x)**2/(4*b**4) - 3*d**4*x*cosh(a + b*x)**2/(4*b**4) + 3*d**4*sinh(a + b*x)*cosh(a + b*x)/(4*b**5), Ne(b, 0)), ((c**4*x + 2*c**3*d*x**2 + 2*c**2*d**2*x**3 + c*d**3*x**4 + d**4*x**5/5)*cosh(a)**2, True))","A",0
9,1,456,0,2.578080," ","integrate((d*x+c)**3*cosh(b*x+a)**2,x)","\begin{cases} - \frac{c^{3} x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c^{3} x \cosh^{2}{\left(a + b x \right)}}{2} - \frac{3 c^{2} d x^{2} \sinh^{2}{\left(a + b x \right)}}{4} + \frac{3 c^{2} d x^{2} \cosh^{2}{\left(a + b x \right)}}{4} - \frac{c d^{2} x^{3} \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c d^{2} x^{3} \cosh^{2}{\left(a + b x \right)}}{2} - \frac{d^{3} x^{4} \sinh^{2}{\left(a + b x \right)}}{8} + \frac{d^{3} x^{4} \cosh^{2}{\left(a + b x \right)}}{8} + \frac{c^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{3 c^{2} d x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{3 c d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{d^{3} x^{3} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} - \frac{3 c^{2} d \cosh^{2}{\left(a + b x \right)}}{4 b^{2}} - \frac{3 c d^{2} x \sinh^{2}{\left(a + b x \right)}}{4 b^{2}} - \frac{3 c d^{2} x \cosh^{2}{\left(a + b x \right)}}{4 b^{2}} - \frac{3 d^{3} x^{2} \sinh^{2}{\left(a + b x \right)}}{8 b^{2}} - \frac{3 d^{3} x^{2} \cosh^{2}{\left(a + b x \right)}}{8 b^{2}} + \frac{3 c d^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{3}} + \frac{3 d^{3} x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{3}} - \frac{3 d^{3} \cosh^{2}{\left(a + b x \right)}}{8 b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-c**3*x*sinh(a + b*x)**2/2 + c**3*x*cosh(a + b*x)**2/2 - 3*c**2*d*x**2*sinh(a + b*x)**2/4 + 3*c**2*d*x**2*cosh(a + b*x)**2/4 - c*d**2*x**3*sinh(a + b*x)**2/2 + c*d**2*x**3*cosh(a + b*x)**2/2 - d**3*x**4*sinh(a + b*x)**2/8 + d**3*x**4*cosh(a + b*x)**2/8 + c**3*sinh(a + b*x)*cosh(a + b*x)/(2*b) + 3*c**2*d*x*sinh(a + b*x)*cosh(a + b*x)/(2*b) + 3*c*d**2*x**2*sinh(a + b*x)*cosh(a + b*x)/(2*b) + d**3*x**3*sinh(a + b*x)*cosh(a + b*x)/(2*b) - 3*c**2*d*cosh(a + b*x)**2/(4*b**2) - 3*c*d**2*x*sinh(a + b*x)**2/(4*b**2) - 3*c*d**2*x*cosh(a + b*x)**2/(4*b**2) - 3*d**3*x**2*sinh(a + b*x)**2/(8*b**2) - 3*d**3*x**2*cosh(a + b*x)**2/(8*b**2) + 3*c*d**2*sinh(a + b*x)*cosh(a + b*x)/(4*b**3) + 3*d**3*x*sinh(a + b*x)*cosh(a + b*x)/(4*b**3) - 3*d**3*cosh(a + b*x)**2/(8*b**4), Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*cosh(a)**2, True))","A",0
10,1,264,0,1.221631," ","integrate((d*x+c)**2*cosh(b*x+a)**2,x)","\begin{cases} - \frac{c^{2} x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c^{2} x \cosh^{2}{\left(a + b x \right)}}{2} - \frac{c d x^{2} \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c d x^{2} \cosh^{2}{\left(a + b x \right)}}{2} - \frac{d^{2} x^{3} \sinh^{2}{\left(a + b x \right)}}{6} + \frac{d^{2} x^{3} \cosh^{2}{\left(a + b x \right)}}{6} + \frac{c^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{c d x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b} + \frac{d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} - \frac{c d \cosh^{2}{\left(a + b x \right)}}{2 b^{2}} - \frac{d^{2} x \sinh^{2}{\left(a + b x \right)}}{4 b^{2}} - \frac{d^{2} x \cosh^{2}{\left(a + b x \right)}}{4 b^{2}} + \frac{d^{2} \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{4 b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-c**2*x*sinh(a + b*x)**2/2 + c**2*x*cosh(a + b*x)**2/2 - c*d*x**2*sinh(a + b*x)**2/2 + c*d*x**2*cosh(a + b*x)**2/2 - d**2*x**3*sinh(a + b*x)**2/6 + d**2*x**3*cosh(a + b*x)**2/6 + c**2*sinh(a + b*x)*cosh(a + b*x)/(2*b) + c*d*x*sinh(a + b*x)*cosh(a + b*x)/b + d**2*x**2*sinh(a + b*x)*cosh(a + b*x)/(2*b) - c*d*cosh(a + b*x)**2/(2*b**2) - d**2*x*sinh(a + b*x)**2/(4*b**2) - d**2*x*cosh(a + b*x)**2/(4*b**2) + d**2*sinh(a + b*x)*cosh(a + b*x)/(4*b**3), Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*cosh(a)**2, True))","A",0
11,1,126,0,0.525661," ","integrate((d*x+c)*cosh(b*x+a)**2,x)","\begin{cases} - \frac{c x \sinh^{2}{\left(a + b x \right)}}{2} + \frac{c x \cosh^{2}{\left(a + b x \right)}}{2} - \frac{d x^{2} \sinh^{2}{\left(a + b x \right)}}{4} + \frac{d x^{2} \cosh^{2}{\left(a + b x \right)}}{4} + \frac{c \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} + \frac{d x \sinh{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{2 b} - \frac{d \cosh^{2}{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \cosh^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-c*x*sinh(a + b*x)**2/2 + c*x*cosh(a + b*x)**2/2 - d*x**2*sinh(a + b*x)**2/4 + d*x**2*cosh(a + b*x)**2/4 + c*sinh(a + b*x)*cosh(a + b*x)/(2*b) + d*x*sinh(a + b*x)*cosh(a + b*x)/(2*b) - d*cosh(a + b*x)**2/(4*b**2), Ne(b, 0)), ((c*x + d*x**2/2)*cosh(a)**2, True))","A",0
12,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c),x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x), x)","F",0
13,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**2,x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**2, x)","F",0
14,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**3,x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**3, x)","F",0
15,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**4,x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{4}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**4, x)","F",0
16,1,772,0,7.946864," ","integrate((d*x+c)**4*cosh(b*x+a)**3,x)","\begin{cases} - \frac{2 c^{4} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{c^{4} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{8 c^{3} d x \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{4 c^{3} d x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{4 c^{2} d^{2} x^{2} \sinh^{3}{\left(a + b x \right)}}{b} + \frac{6 c^{2} d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{8 c d^{3} x^{3} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{4 c d^{3} x^{3} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 d^{4} x^{4} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{d^{4} x^{4} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} + \frac{8 c^{3} d \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} - \frac{28 c^{3} d \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} + \frac{8 c^{2} d^{2} x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{28 c^{2} d^{2} x \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{8 c d^{3} x^{2} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{28 c d^{3} x^{2} \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{8 d^{4} x^{3} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} - \frac{28 d^{4} x^{3} \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} - \frac{80 c^{2} d^{2} \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{28 c^{2} d^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} - \frac{160 c d^{3} x \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{56 c d^{3} x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} - \frac{80 d^{4} x^{2} \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{28 d^{4} x^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} + \frac{160 c d^{3} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4}} - \frac{488 c d^{3} \cosh^{3}{\left(a + b x \right)}}{27 b^{4}} + \frac{160 d^{4} x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4}} - \frac{488 d^{4} x \cosh^{3}{\left(a + b x \right)}}{27 b^{4}} - \frac{1456 d^{4} \sinh^{3}{\left(a + b x \right)}}{81 b^{5}} + \frac{488 d^{4} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{27 b^{5}} & \text{for}\: b \neq 0 \\\left(c^{4} x + 2 c^{3} d x^{2} + 2 c^{2} d^{2} x^{3} + c d^{3} x^{4} + \frac{d^{4} x^{5}}{5}\right) \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*c**4*sinh(a + b*x)**3/(3*b) + c**4*sinh(a + b*x)*cosh(a + b*x)**2/b - 8*c**3*d*x*sinh(a + b*x)**3/(3*b) + 4*c**3*d*x*sinh(a + b*x)*cosh(a + b*x)**2/b - 4*c**2*d**2*x**2*sinh(a + b*x)**3/b + 6*c**2*d**2*x**2*sinh(a + b*x)*cosh(a + b*x)**2/b - 8*c*d**3*x**3*sinh(a + b*x)**3/(3*b) + 4*c*d**3*x**3*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*d**4*x**4*sinh(a + b*x)**3/(3*b) + d**4*x**4*sinh(a + b*x)*cosh(a + b*x)**2/b + 8*c**3*d*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) - 28*c**3*d*cosh(a + b*x)**3/(9*b**2) + 8*c**2*d**2*x*sinh(a + b*x)**2*cosh(a + b*x)/b**2 - 28*c**2*d**2*x*cosh(a + b*x)**3/(3*b**2) + 8*c*d**3*x**2*sinh(a + b*x)**2*cosh(a + b*x)/b**2 - 28*c*d**3*x**2*cosh(a + b*x)**3/(3*b**2) + 8*d**4*x**3*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) - 28*d**4*x**3*cosh(a + b*x)**3/(9*b**2) - 80*c**2*d**2*sinh(a + b*x)**3/(9*b**3) + 28*c**2*d**2*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) - 160*c*d**3*x*sinh(a + b*x)**3/(9*b**3) + 56*c*d**3*x*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) - 80*d**4*x**2*sinh(a + b*x)**3/(9*b**3) + 28*d**4*x**2*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) + 160*c*d**3*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4) - 488*c*d**3*cosh(a + b*x)**3/(27*b**4) + 160*d**4*x*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4) - 488*d**4*x*cosh(a + b*x)**3/(27*b**4) - 1456*d**4*sinh(a + b*x)**3/(81*b**5) + 488*d**4*sinh(a + b*x)*cosh(a + b*x)**2/(27*b**5), Ne(b, 0)), ((c**4*x + 2*c**3*d*x**2 + 2*c**2*d**2*x**3 + c*d**3*x**4 + d**4*x**5/5)*cosh(a)**3, True))","A",0
17,1,495,0,4.217111," ","integrate((d*x+c)**3*cosh(b*x+a)**3,x)","\begin{cases} - \frac{2 c^{3} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{c^{3} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 c^{2} d x \sinh^{3}{\left(a + b x \right)}}{b} + \frac{3 c^{2} d x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 c d^{2} x^{2} \sinh^{3}{\left(a + b x \right)}}{b} + \frac{3 c d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 d^{3} x^{3} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{d^{3} x^{3} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} + \frac{2 c^{2} d \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{7 c^{2} d \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{4 c d^{2} x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{14 c d^{2} x \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} + \frac{2 d^{3} x^{2} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{b^{2}} - \frac{7 d^{3} x^{2} \cosh^{3}{\left(a + b x \right)}}{3 b^{2}} - \frac{40 c d^{2} \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{14 c d^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} - \frac{40 d^{3} x \sinh^{3}{\left(a + b x \right)}}{9 b^{3}} + \frac{14 d^{3} x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{3 b^{3}} + \frac{40 d^{3} \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{9 b^{4}} - \frac{122 d^{3} \cosh^{3}{\left(a + b x \right)}}{27 b^{4}} & \text{for}\: b \neq 0 \\\left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*c**3*sinh(a + b*x)**3/(3*b) + c**3*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*c**2*d*x*sinh(a + b*x)**3/b + 3*c**2*d*x*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*c*d**2*x**2*sinh(a + b*x)**3/b + 3*c*d**2*x**2*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*d**3*x**3*sinh(a + b*x)**3/(3*b) + d**3*x**3*sinh(a + b*x)*cosh(a + b*x)**2/b + 2*c**2*d*sinh(a + b*x)**2*cosh(a + b*x)/b**2 - 7*c**2*d*cosh(a + b*x)**3/(3*b**2) + 4*c*d**2*x*sinh(a + b*x)**2*cosh(a + b*x)/b**2 - 14*c*d**2*x*cosh(a + b*x)**3/(3*b**2) + 2*d**3*x**2*sinh(a + b*x)**2*cosh(a + b*x)/b**2 - 7*d**3*x**2*cosh(a + b*x)**3/(3*b**2) - 40*c*d**2*sinh(a + b*x)**3/(9*b**3) + 14*c*d**2*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) - 40*d**3*x*sinh(a + b*x)**3/(9*b**3) + 14*d**3*x*sinh(a + b*x)*cosh(a + b*x)**2/(3*b**3) + 40*d**3*sinh(a + b*x)**2*cosh(a + b*x)/(9*b**4) - 122*d**3*cosh(a + b*x)**3/(27*b**4), Ne(b, 0)), ((c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4)*cosh(a)**3, True))","A",0
18,1,284,0,2.248497," ","integrate((d*x+c)**2*cosh(b*x+a)**3,x)","\begin{cases} - \frac{2 c^{2} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{c^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{4 c d x \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{2 c d x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 d^{2} x^{2} \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{d^{2} x^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} + \frac{4 c d \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} - \frac{14 c d \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} + \frac{4 d^{2} x \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} - \frac{14 d^{2} x \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} - \frac{40 d^{2} \sinh^{3}{\left(a + b x \right)}}{27 b^{3}} + \frac{14 d^{2} \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{9 b^{3}} & \text{for}\: b \neq 0 \\\left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*c**2*sinh(a + b*x)**3/(3*b) + c**2*sinh(a + b*x)*cosh(a + b*x)**2/b - 4*c*d*x*sinh(a + b*x)**3/(3*b) + 2*c*d*x*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*d**2*x**2*sinh(a + b*x)**3/(3*b) + d**2*x**2*sinh(a + b*x)*cosh(a + b*x)**2/b + 4*c*d*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) - 14*c*d*cosh(a + b*x)**3/(9*b**2) + 4*d**2*x*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) - 14*d**2*x*cosh(a + b*x)**3/(9*b**2) - 40*d**2*sinh(a + b*x)**3/(27*b**3) + 14*d**2*sinh(a + b*x)*cosh(a + b*x)**2/(9*b**3), Ne(b, 0)), ((c**2*x + c*d*x**2 + d**2*x**3/3)*cosh(a)**3, True))","A",0
19,1,126,0,0.939430," ","integrate((d*x+c)*cosh(b*x+a)**3,x)","\begin{cases} - \frac{2 c \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{c \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} - \frac{2 d x \sinh^{3}{\left(a + b x \right)}}{3 b} + \frac{d x \sinh{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{b} + \frac{2 d \sinh^{2}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{3 b^{2}} - \frac{7 d \cosh^{3}{\left(a + b x \right)}}{9 b^{2}} & \text{for}\: b \neq 0 \\\left(c x + \frac{d x^{2}}{2}\right) \cosh^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*c*sinh(a + b*x)**3/(3*b) + c*sinh(a + b*x)*cosh(a + b*x)**2/b - 2*d*x*sinh(a + b*x)**3/(3*b) + d*x*sinh(a + b*x)*cosh(a + b*x)**2/b + 2*d*sinh(a + b*x)**2*cosh(a + b*x)/(3*b**2) - 7*d*cosh(a + b*x)**3/(9*b**2), Ne(b, 0)), ((c*x + d*x**2/2)*cosh(a)**3, True))","A",0
20,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c),x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x), x)","F",0
21,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**2,x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x)**2, x)","F",0
22,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**3,x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x)**3, x)","F",0
23,1,253,0,5.700020," ","integrate(x**3*cosh(b*x+a)**4,x)","\begin{cases} \frac{3 x^{4} \sinh^{4}{\left(a + b x \right)}}{32} - \frac{3 x^{4} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{16} + \frac{3 x^{4} \cosh^{4}{\left(a + b x \right)}}{32} - \frac{3 x^{3} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{5 x^{3} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} + \frac{45 x^{2} \sinh^{4}{\left(a + b x \right)}}{128 b^{2}} - \frac{9 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{64 b^{2}} - \frac{51 x^{2} \cosh^{4}{\left(a + b x \right)}}{128 b^{2}} - \frac{45 x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{3}} + \frac{51 x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{3}} + \frac{45 \sinh^{4}{\left(a + b x \right)}}{256 b^{4}} - \frac{51 \cosh^{4}{\left(a + b x \right)}}{256 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \cosh^{4}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**4*sinh(a + b*x)**4/32 - 3*x**4*sinh(a + b*x)**2*cosh(a + b*x)**2/16 + 3*x**4*cosh(a + b*x)**4/32 - 3*x**3*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + 5*x**3*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) + 45*x**2*sinh(a + b*x)**4/(128*b**2) - 9*x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/(64*b**2) - 51*x**2*cosh(a + b*x)**4/(128*b**2) - 45*x*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**3) + 51*x*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**3) + 45*sinh(a + b*x)**4/(256*b**4) - 51*cosh(a + b*x)**4/(256*b**4), Ne(b, 0)), (x**4*cosh(a)**4/4, True))","A",0
24,1,209,0,3.272090," ","integrate(x**2*cosh(b*x+a)**4,x)","\begin{cases} \frac{x^{3} \sinh^{4}{\left(a + b x \right)}}{8} - \frac{x^{3} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{4} + \frac{x^{3} \cosh^{4}{\left(a + b x \right)}}{8} - \frac{3 x^{2} \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{5 x^{2} \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} + \frac{15 x \sinh^{4}{\left(a + b x \right)}}{64 b^{2}} - \frac{3 x \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{32 b^{2}} - \frac{17 x \cosh^{4}{\left(a + b x \right)}}{64 b^{2}} - \frac{15 \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{64 b^{3}} + \frac{17 \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{64 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \cosh^{4}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**3*sinh(a + b*x)**4/8 - x**3*sinh(a + b*x)**2*cosh(a + b*x)**2/4 + x**3*cosh(a + b*x)**4/8 - 3*x**2*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + 5*x**2*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) + 15*x*sinh(a + b*x)**4/(64*b**2) - 3*x*sinh(a + b*x)**2*cosh(a + b*x)**2/(32*b**2) - 17*x*cosh(a + b*x)**4/(64*b**2) - 15*sinh(a + b*x)**3*cosh(a + b*x)/(64*b**3) + 17*sinh(a + b*x)*cosh(a + b*x)**3/(64*b**3), Ne(b, 0)), (x**3*cosh(a)**4/3, True))","A",0
25,1,138,0,1.834453," ","integrate(x*cosh(b*x+a)**4,x)","\begin{cases} \frac{3 x^{2} \sinh^{4}{\left(a + b x \right)}}{16} - \frac{3 x^{2} \sinh^{2}{\left(a + b x \right)} \cosh^{2}{\left(a + b x \right)}}{8} + \frac{3 x^{2} \cosh^{4}{\left(a + b x \right)}}{16} - \frac{3 x \sinh^{3}{\left(a + b x \right)} \cosh{\left(a + b x \right)}}{8 b} + \frac{5 x \sinh{\left(a + b x \right)} \cosh^{3}{\left(a + b x \right)}}{8 b} + \frac{3 \sinh^{4}{\left(a + b x \right)}}{32 b^{2}} - \frac{5 \cosh^{4}{\left(a + b x \right)}}{32 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \cosh^{4}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**2*sinh(a + b*x)**4/16 - 3*x**2*sinh(a + b*x)**2*cosh(a + b*x)**2/8 + 3*x**2*cosh(a + b*x)**4/16 - 3*x*sinh(a + b*x)**3*cosh(a + b*x)/(8*b) + 5*x*sinh(a + b*x)*cosh(a + b*x)**3/(8*b) + 3*sinh(a + b*x)**4/(32*b**2) - 5*cosh(a + b*x)**4/(32*b**2), Ne(b, 0)), (x**2*cosh(a)**4/2, True))","A",0
26,0,0,0,0.000000," ","integrate((d*x+c)**3*sech(b*x+a),x)","\int \left(c + d x\right)^{3} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**3*sech(a + b*x), x)","F",0
27,0,0,0,0.000000," ","integrate((d*x+c)**2*sech(b*x+a),x)","\int \left(c + d x\right)^{2} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*sech(a + b*x), x)","F",0
28,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a),x)","\int \left(c + d x\right) \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*sech(a + b*x), x)","F",0
29,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{sech}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(sech(a + b*x)/(c + d*x), x)","F",0
30,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c)**2,x)","\int \frac{\operatorname{sech}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(sech(a + b*x)/(c + d*x)**2, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x+c)**3*sech(b*x+a)**2,x)","\int \left(c + d x\right)^{3} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**3*sech(a + b*x)**2, x)","F",0
32,0,0,0,0.000000," ","integrate((d*x+c)**2*sech(b*x+a)**2,x)","\int \left(c + d x\right)^{2} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*sech(a + b*x)**2, x)","F",0
33,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a)**2,x)","\int \left(c + d x\right) \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*sech(a + b*x)**2, x)","F",0
34,0,0,0,0.000000," ","integrate(sech(b*x+a)**2/(d*x+c),x)","\int \frac{\operatorname{sech}^{2}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(sech(a + b*x)**2/(c + d*x), x)","F",0
35,0,0,0,0.000000," ","integrate(sech(b*x+a)**2/(d*x+c)**2,x)","\int \frac{\operatorname{sech}^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(sech(a + b*x)**2/(c + d*x)**2, x)","F",0
36,0,0,0,0.000000," ","integrate((d*x+c)**3*sech(b*x+a)**3,x)","\int \left(c + d x\right)^{3} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**3*sech(a + b*x)**3, x)","F",0
37,0,0,0,0.000000," ","integrate((d*x+c)**2*sech(b*x+a)**3,x)","\int \left(c + d x\right)^{2} \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**2*sech(a + b*x)**3, x)","F",0
38,0,0,0,0.000000," ","integrate((d*x+c)*sech(b*x+a)**3,x)","\int \left(c + d x\right) \operatorname{sech}^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)*sech(a + b*x)**3, x)","F",0
39,0,0,0,0.000000," ","integrate(sech(b*x+a)**3/(d*x+c),x)","\int \frac{\operatorname{sech}^{3}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(sech(a + b*x)**3/(c + d*x), x)","F",0
40,0,0,0,0.000000," ","integrate(sech(b*x+a)**3/(d*x+c)**2,x)","\int \frac{\operatorname{sech}^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(sech(a + b*x)**3/(c + d*x)**2, x)","F",0
41,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)*cosh(b*x+a),x)","\int \left(c + d x\right)^{\frac{5}{2}} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(5/2)*cosh(a + b*x), x)","F",0
42,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*cosh(b*x+a),x)","\int \left(c + d x\right)^{\frac{3}{2}} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(3/2)*cosh(a + b*x), x)","F",0
43,0,0,0,0.000000," ","integrate(cosh(b*x+a)*(d*x+c)**(1/2),x)","\int \sqrt{c + d x} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*cosh(a + b*x), x)","F",0
44,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**(1/2),x)","\int \frac{\cosh{\left(a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(cosh(a + b*x)/sqrt(c + d*x), x)","F",0
45,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**(3/2),x)","\int \frac{\cosh{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x)**(3/2), x)","F",0
46,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**(5/2),x)","\int \frac{\cosh{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x)**(5/2), x)","F",0
47,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x+c)**(7/2),x)","\int \frac{\cosh{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)/(c + d*x)**(7/2), x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)**(5/2)*cosh(b*x+a)**2,x)","\int \left(c + d x\right)^{\frac{5}{2}} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(5/2)*cosh(a + b*x)**2, x)","F",0
49,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*cosh(b*x+a)**2,x)","\int \left(c + d x\right)^{\frac{3}{2}} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(3/2)*cosh(a + b*x)**2, x)","F",0
50,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*(d*x+c)**(1/2),x)","\int \sqrt{c + d x} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*cosh(a + b*x)**2, x)","F",0
51,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**(1/2),x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/sqrt(c + d*x), x)","F",0
52,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**(3/2),x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**(5/2),x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**(5/2), x)","F",0
54,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**(7/2),x)","\int \frac{\cosh^{2}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**2/(c + d*x)**(7/2), x)","F",0
55,-1,0,0,0.000000," ","integrate(cosh(b*x+a)**2/(d*x+c)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate((d*x+c)**(5/2)*cosh(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,0,0,0,0.000000," ","integrate((d*x+c)**(3/2)*cosh(b*x+a)**3,x)","\int \left(c + d x\right)^{\frac{3}{2}} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**(3/2)*cosh(a + b*x)**3, x)","F",0
58,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*(d*x+c)**(1/2),x)","\int \sqrt{c + d x} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*cosh(a + b*x)**3, x)","F",0
59,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**(1/2),x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/sqrt(c + d*x), x)","F",0
60,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**(3/2),x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x)**(3/2), x)","F",0
61,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**(5/2),x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x)**(5/2), x)","F",0
62,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3/(d*x+c)**(7/2),x)","\int \frac{\cosh^{3}{\left(a + b x \right)}}{\left(c + d x\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(cosh(a + b*x)**3/(c + d*x)**(7/2), x)","F",0
63,1,131,0,18.029736," ","integrate((d*x)**(3/2)*cosh(f*x),x)","\frac{5 d^{\frac{3}{2}} x^{\frac{3}{2}} \sinh{\left(f x \right)} \Gamma\left(\frac{5}{4}\right)}{4 f \Gamma\left(\frac{9}{4}\right)} - \frac{15 d^{\frac{3}{2}} \sqrt{x} \cosh{\left(f x \right)} \Gamma\left(\frac{5}{4}\right)}{8 f^{2} \Gamma\left(\frac{9}{4}\right)} + \frac{15 \sqrt{2} \sqrt{\pi} d^{\frac{3}{2}} e^{- \frac{i \pi}{4}} C\left(\frac{\sqrt{2} \sqrt{f} \sqrt{x} e^{\frac{i \pi}{4}}}{\sqrt{\pi}}\right) \Gamma\left(\frac{5}{4}\right)}{16 f^{\frac{5}{2}} \Gamma\left(\frac{9}{4}\right)}"," ",0,"5*d**(3/2)*x**(3/2)*sinh(f*x)*gamma(5/4)/(4*f*gamma(9/4)) - 15*d**(3/2)*sqrt(x)*cosh(f*x)*gamma(5/4)/(8*f**2*gamma(9/4)) + 15*sqrt(2)*sqrt(pi)*d**(3/2)*exp(-I*pi/4)*fresnelc(sqrt(2)*sqrt(f)*sqrt(x)*exp(I*pi/4)/sqrt(pi))*gamma(5/4)/(16*f**(5/2)*gamma(9/4))","C",0
64,1,100,0,1.403948," ","integrate(cosh(f*x)*(d*x)**(1/2),x)","\frac{3 \sqrt{d} \sqrt{x} \sinh{\left(f x \right)} \Gamma\left(\frac{3}{4}\right)}{4 f \Gamma\left(\frac{7}{4}\right)} - \frac{3 \sqrt{2} \sqrt{\pi} \sqrt{d} e^{- \frac{3 i \pi}{4}} S\left(\frac{\sqrt{2} \sqrt{f} \sqrt{x} e^{\frac{i \pi}{4}}}{\sqrt{\pi}}\right) \Gamma\left(\frac{3}{4}\right)}{8 f^{\frac{3}{2}} \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*sqrt(d)*sqrt(x)*sinh(f*x)*gamma(3/4)/(4*f*gamma(7/4)) - 3*sqrt(2)*sqrt(pi)*sqrt(d)*exp(-3*I*pi/4)*fresnels(sqrt(2)*sqrt(f)*sqrt(x)*exp(I*pi/4)/sqrt(pi))*gamma(3/4)/(8*f**(3/2)*gamma(7/4))","C",0
65,1,66,0,0.961928," ","integrate(cosh(f*x)/(d*x)**(1/2),x)","\frac{\sqrt{2} \sqrt{\pi} e^{- \frac{i \pi}{4}} C\left(\frac{\sqrt{2} \sqrt{f} \sqrt{x} e^{\frac{i \pi}{4}}}{\sqrt{\pi}}\right) \Gamma\left(\frac{1}{4}\right)}{4 \sqrt{d} \sqrt{f} \Gamma\left(\frac{5}{4}\right)}"," ",0,"sqrt(2)*sqrt(pi)*exp(-I*pi/4)*fresnelc(sqrt(2)*sqrt(f)*sqrt(x)*exp(I*pi/4)/sqrt(pi))*gamma(1/4)/(4*sqrt(d)*sqrt(f)*gamma(5/4))","C",0
66,1,99,0,2.787658," ","integrate(cosh(f*x)/(d*x)**(3/2),x)","- \frac{\sqrt{2} \sqrt{\pi} \sqrt{f} e^{- \frac{3 i \pi}{4}} S\left(\frac{\sqrt{2} \sqrt{f} \sqrt{x} e^{\frac{i \pi}{4}}}{\sqrt{\pi}}\right) \Gamma\left(- \frac{1}{4}\right)}{2 d^{\frac{3}{2}} \Gamma\left(\frac{3}{4}\right)} + \frac{\cosh{\left(f x \right)} \Gamma\left(- \frac{1}{4}\right)}{2 d^{\frac{3}{2}} \sqrt{x} \Gamma\left(\frac{3}{4}\right)}"," ",0,"-sqrt(2)*sqrt(pi)*sqrt(f)*exp(-3*I*pi/4)*fresnels(sqrt(2)*sqrt(f)*sqrt(x)*exp(I*pi/4)/sqrt(pi))*gamma(-1/4)/(2*d**(3/2)*gamma(3/4)) + cosh(f*x)*gamma(-1/4)/(2*d**(3/2)*sqrt(x)*gamma(3/4))","C",0
67,1,124,0,19.881275," ","integrate(cosh(f*x)/(d*x)**(5/2),x)","- \frac{\sqrt{2} \sqrt{\pi} f^{\frac{3}{2}} e^{- \frac{i \pi}{4}} C\left(\frac{\sqrt{2} \sqrt{f} \sqrt{x} e^{\frac{i \pi}{4}}}{\sqrt{\pi}}\right) \Gamma\left(- \frac{3}{4}\right)}{d^{\frac{5}{2}} \Gamma\left(\frac{1}{4}\right)} + \frac{f \sinh{\left(f x \right)} \Gamma\left(- \frac{3}{4}\right)}{d^{\frac{5}{2}} \sqrt{x} \Gamma\left(\frac{1}{4}\right)} + \frac{\cosh{\left(f x \right)} \Gamma\left(- \frac{3}{4}\right)}{2 d^{\frac{5}{2}} x^{\frac{3}{2}} \Gamma\left(\frac{1}{4}\right)}"," ",0,"-sqrt(2)*sqrt(pi)*f**(3/2)*exp(-I*pi/4)*fresnelc(sqrt(2)*sqrt(f)*sqrt(x)*exp(I*pi/4)/sqrt(pi))*gamma(-3/4)/(d**(5/2)*gamma(1/4)) + f*sinh(f*x)*gamma(-3/4)/(d**(5/2)*sqrt(x)*gamma(1/4)) + cosh(f*x)*gamma(-3/4)/(2*d**(5/2)*x**(3/2)*gamma(1/4))","C",0
68,0,0,0,0.000000," ","integrate(sech(b*x+a)*(d*x+c)**(1/2),x)","\int \sqrt{c + d x} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x)*sech(a + b*x), x)","F",0
69,0,0,0,0.000000," ","integrate(sech(b*x+a)/(d*x+c)**(1/2),x)","\int \frac{\operatorname{sech}{\left(a + b x \right)}}{\sqrt{c + d x}}\, dx"," ",0,"Integral(sech(a + b*x)/sqrt(c + d*x), x)","F",0
70,0,0,0,0.000000," ","integrate(cosh(x)**(3/2)/x**3,x)","\int \frac{\cosh^{\frac{3}{2}}{\left(x \right)}}{x^{3}}\, dx"," ",0,"Integral(cosh(x)**(3/2)/x**3, x)","F",0
71,0,0,0,0.000000," ","integrate(x/cosh(x)**(3/2)+x*cosh(x)**(1/2),x)","\int \frac{x \left(\cosh^{2}{\left(x \right)} + 1\right)}{\cosh^{\frac{3}{2}}{\left(x \right)}}\, dx"," ",0,"Integral(x*(cosh(x)**2 + 1)/cosh(x)**(3/2), x)","F",0
72,0,0,0,0.000000," ","integrate(x/cosh(x)**(5/2)-1/3*x/cosh(x)**(1/2),x)","- \frac{\int \left(- \frac{3 x}{\cosh^{\frac{5}{2}}{\left(x \right)}}\right)\, dx + \int \frac{x}{\sqrt{\cosh{\left(x \right)}}}\, dx}{3}"," ",0,"-(Integral(-3*x/cosh(x)**(5/2), x) + Integral(x/sqrt(cosh(x)), x))/3","F",0
73,-1,0,0,0.000000," ","integrate(x/cosh(x)**(7/2)+3/5*x*cosh(x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,0,0,0,0.000000," ","integrate(x**2/cosh(x)**(3/2)+x**2*cosh(x)**(1/2),x)","\int \frac{x^{2} \left(\cosh^{2}{\left(x \right)} + 1\right)}{\cosh^{\frac{3}{2}}{\left(x \right)}}\, dx"," ",0,"Integral(x**2*(cosh(x)**2 + 1)/cosh(x)**(3/2), x)","F",0
75,0,0,0,0.000000," ","integrate((d*x+c)**m*(b*cosh(f*x+e))**n,x)","\int \left(b \cosh{\left(e + f x \right)}\right)^{n} \left(c + d x\right)^{m}\, dx"," ",0,"Integral((b*cosh(e + f*x))**n*(c + d*x)**m, x)","F",0
76,0,0,0,0.000000," ","integrate((d*x+c)**m*cosh(b*x+a)**3,x)","\int \left(c + d x\right)^{m} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**m*cosh(a + b*x)**3, x)","F",0
77,0,0,0,0.000000," ","integrate((d*x+c)**m*cosh(b*x+a)**2,x)","\int \left(c + d x\right)^{m} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**m*cosh(a + b*x)**2, x)","F",0
78,-2,0,0,0.000000," ","integrate((d*x+c)**m*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
79,0,0,0,0.000000," ","integrate((d*x+c)**m*sech(b*x+a),x)","\int \left(c + d x\right)^{m} \operatorname{sech}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**m*sech(a + b*x), x)","F",0
80,0,0,0,0.000000," ","integrate((d*x+c)**m*sech(b*x+a)**2,x)","\int \left(c + d x\right)^{m} \operatorname{sech}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral((c + d*x)**m*sech(a + b*x)**2, x)","F",0
81,-2,0,0,0.000000," ","integrate(x**(3+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
82,-2,0,0,0.000000," ","integrate(x**(2+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
83,-2,0,0,0.000000," ","integrate(x**(1+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
84,-2,0,0,0.000000," ","integrate(x**m*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
85,-2,0,0,0.000000," ","integrate(x**(-1+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
86,-2,0,0,0.000000," ","integrate(x**(-2+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
87,-2,0,0,0.000000," ","integrate(x**(-3+m)*cosh(b*x+a),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
88,0,0,0,0.000000," ","integrate(x**(3+m)*cosh(b*x+a)**2,x)","\int x^{m + 3} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m + 3)*cosh(a + b*x)**2, x)","F",0
89,0,0,0,0.000000," ","integrate(x**(2+m)*cosh(b*x+a)**2,x)","\int x^{m + 2} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m + 2)*cosh(a + b*x)**2, x)","F",0
90,0,0,0,0.000000," ","integrate(x**(1+m)*cosh(b*x+a)**2,x)","\int x^{m + 1} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m + 1)*cosh(a + b*x)**2, x)","F",0
91,0,0,0,0.000000," ","integrate(x**m*cosh(b*x+a)**2,x)","\int x^{m} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**m*cosh(a + b*x)**2, x)","F",0
92,0,0,0,0.000000," ","integrate(x**(-1+m)*cosh(b*x+a)**2,x)","\int x^{m - 1} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m - 1)*cosh(a + b*x)**2, x)","F",0
93,0,0,0,0.000000," ","integrate(x**(-2+m)*cosh(b*x+a)**2,x)","\int x^{m - 2} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m - 2)*cosh(a + b*x)**2, x)","F",0
94,0,0,0,0.000000," ","integrate(x**(-3+m)*cosh(b*x+a)**2,x)","\int x^{m - 3} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**(m - 3)*cosh(a + b*x)**2, x)","F",0
95,0,0,0,0.000000," ","integrate(x/sech(x)**(3/2)-1/3*x*sech(x)**(1/2),x)","- \frac{\int \left(- \frac{3 x}{\operatorname{sech}^{\frac{3}{2}}{\left(x \right)}}\right)\, dx + \int x \sqrt{\operatorname{sech}{\left(x \right)}}\, dx}{3}"," ",0,"-(Integral(-3*x/sech(x)**(3/2), x) + Integral(x*sqrt(sech(x)), x))/3","F",0
96,0,0,0,0.000000," ","integrate(x/sech(x)**(5/2)-3/5*x/sech(x)**(1/2),x)","- \frac{\int \left(- \frac{5 x}{\operatorname{sech}^{\frac{5}{2}}{\left(x \right)}}\right)\, dx + \int \frac{3 x}{\sqrt{\operatorname{sech}{\left(x \right)}}}\, dx}{5}"," ",0,"-(Integral(-5*x/sech(x)**(5/2), x) + Integral(3*x/sqrt(sech(x)), x))/5","F",0
97,0,0,0,0.000000," ","integrate(x/sech(x)**(7/2)-5/21*x*sech(x)**(1/2),x)","- \frac{\int \left(- \frac{21 x}{\operatorname{sech}^{\frac{7}{2}}{\left(x \right)}}\right)\, dx + \int 5 x \sqrt{\operatorname{sech}{\left(x \right)}}\, dx}{21}"," ",0,"-(Integral(-21*x/sech(x)**(7/2), x) + Integral(5*x*sqrt(sech(x)), x))/21","F",0
98,0,0,0,0.000000," ","integrate(x**2/sech(x)**(3/2)-1/3*x**2*sech(x)**(1/2),x)","- \frac{\int \left(- \frac{3 x^{2}}{\operatorname{sech}^{\frac{3}{2}}{\left(x \right)}}\right)\, dx + \int x^{2} \sqrt{\operatorname{sech}{\left(x \right)}}\, dx}{3}"," ",0,"-(Integral(-3*x**2/sech(x)**(3/2), x) + Integral(x**2*sqrt(sech(x)), x))/3","F",0
99,1,264,0,1.379737," ","integrate((d*x+c)**3*(a+a*cosh(f*x+e)),x)","\begin{cases} a c^{3} x + \frac{a c^{3} \sinh{\left(e + f x \right)}}{f} + \frac{3 a c^{2} d x^{2}}{2} + \frac{3 a c^{2} d x \sinh{\left(e + f x \right)}}{f} - \frac{3 a c^{2} d \cosh{\left(e + f x \right)}}{f^{2}} + a c d^{2} x^{3} + \frac{3 a c d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{6 a c d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{6 a c d^{2} \sinh{\left(e + f x \right)}}{f^{3}} + \frac{a d^{3} x^{4}}{4} + \frac{a d^{3} x^{3} \sinh{\left(e + f x \right)}}{f} - \frac{3 a d^{3} x^{2} \cosh{\left(e + f x \right)}}{f^{2}} + \frac{6 a d^{3} x \sinh{\left(e + f x \right)}}{f^{3}} - \frac{6 a d^{3} \cosh{\left(e + f x \right)}}{f^{4}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right) \left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**3*x + a*c**3*sinh(e + f*x)/f + 3*a*c**2*d*x**2/2 + 3*a*c**2*d*x*sinh(e + f*x)/f - 3*a*c**2*d*cosh(e + f*x)/f**2 + a*c*d**2*x**3 + 3*a*c*d**2*x**2*sinh(e + f*x)/f - 6*a*c*d**2*x*cosh(e + f*x)/f**2 + 6*a*c*d**2*sinh(e + f*x)/f**3 + a*d**3*x**4/4 + a*d**3*x**3*sinh(e + f*x)/f - 3*a*d**3*x**2*cosh(e + f*x)/f**2 + 6*a*d**3*x*sinh(e + f*x)/f**3 - 6*a*d**3*cosh(e + f*x)/f**4, Ne(f, 0)), ((a*cosh(e) + a)*(c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4), True))","A",0
100,1,151,0,0.636153," ","integrate((d*x+c)**2*(a+a*cosh(f*x+e)),x)","\begin{cases} a c^{2} x + \frac{a c^{2} \sinh{\left(e + f x \right)}}{f} + a c d x^{2} + \frac{2 a c d x \sinh{\left(e + f x \right)}}{f} - \frac{2 a c d \cosh{\left(e + f x \right)}}{f^{2}} + \frac{a d^{2} x^{3}}{3} + \frac{a d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{2 a d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{2 a d^{2} \sinh{\left(e + f x \right)}}{f^{3}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right) \left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**2*x + a*c**2*sinh(e + f*x)/f + a*c*d*x**2 + 2*a*c*d*x*sinh(e + f*x)/f - 2*a*c*d*cosh(e + f*x)/f**2 + a*d**2*x**3/3 + a*d**2*x**2*sinh(e + f*x)/f - 2*a*d**2*x*cosh(e + f*x)/f**2 + 2*a*d**2*sinh(e + f*x)/f**3, Ne(f, 0)), ((a*cosh(e) + a)*(c**2*x + c*d*x**2 + d**2*x**3/3), True))","A",0
101,1,68,0,0.276945," ","integrate((d*x+c)*(a+a*cosh(f*x+e)),x)","\begin{cases} a c x + \frac{a c \sinh{\left(e + f x \right)}}{f} + \frac{a d x^{2}}{2} + \frac{a d x \sinh{\left(e + f x \right)}}{f} - \frac{a d \cosh{\left(e + f x \right)}}{f^{2}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right) \left(c x + \frac{d x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c*x + a*c*sinh(e + f*x)/f + a*d*x**2/2 + a*d*x*sinh(e + f*x)/f - a*d*cosh(e + f*x)/f**2, Ne(f, 0)), ((a*cosh(e) + a)*(c*x + d*x**2/2), True))","A",0
102,0,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))/(d*x+c),x)","a \left(\int \frac{\cosh{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{1}{c + d x}\, dx\right)"," ",0,"a*(Integral(cosh(e + f*x)/(c + d*x), x) + Integral(1/(c + d*x), x))","F",0
103,-1,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,1,779,0,4.075056," ","integrate((d*x+c)**3*(a+a*cosh(f*x+e))**2,x)","\begin{cases} - \frac{a^{2} c^{3} x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{a^{2} c^{3} x \cosh^{2}{\left(e + f x \right)}}{2} + a^{2} c^{3} x + \frac{a^{2} c^{3} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} c^{3} \sinh{\left(e + f x \right)}}{f} - \frac{3 a^{2} c^{2} d x^{2} \sinh^{2}{\left(e + f x \right)}}{4} + \frac{3 a^{2} c^{2} d x^{2} \cosh^{2}{\left(e + f x \right)}}{4} + \frac{3 a^{2} c^{2} d x^{2}}{2} + \frac{3 a^{2} c^{2} d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{6 a^{2} c^{2} d x \sinh{\left(e + f x \right)}}{f} - \frac{3 a^{2} c^{2} d \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{6 a^{2} c^{2} d \cosh{\left(e + f x \right)}}{f^{2}} - \frac{a^{2} c d^{2} x^{3} \sinh^{2}{\left(e + f x \right)}}{2} + \frac{a^{2} c d^{2} x^{3} \cosh^{2}{\left(e + f x \right)}}{2} + a^{2} c d^{2} x^{3} + \frac{3 a^{2} c d^{2} x^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{6 a^{2} c d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{3 a^{2} c d^{2} x \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{3 a^{2} c d^{2} x \cosh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{12 a^{2} c d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{3 a^{2} c d^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} + \frac{12 a^{2} c d^{2} \sinh{\left(e + f x \right)}}{f^{3}} - \frac{a^{2} d^{3} x^{4} \sinh^{2}{\left(e + f x \right)}}{8} + \frac{a^{2} d^{3} x^{4} \cosh^{2}{\left(e + f x \right)}}{8} + \frac{a^{2} d^{3} x^{4}}{4} + \frac{a^{2} d^{3} x^{3} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} d^{3} x^{3} \sinh{\left(e + f x \right)}}{f} - \frac{3 a^{2} d^{3} x^{2} \sinh^{2}{\left(e + f x \right)}}{8 f^{2}} - \frac{3 a^{2} d^{3} x^{2} \cosh^{2}{\left(e + f x \right)}}{8 f^{2}} - \frac{6 a^{2} d^{3} x^{2} \cosh{\left(e + f x \right)}}{f^{2}} + \frac{3 a^{2} d^{3} x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} + \frac{12 a^{2} d^{3} x \sinh{\left(e + f x \right)}}{f^{3}} - \frac{3 a^{2} d^{3} \sinh^{2}{\left(e + f x \right)}}{8 f^{4}} - \frac{12 a^{2} d^{3} \cosh{\left(e + f x \right)}}{f^{4}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right)^{2} \left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**3*x*sinh(e + f*x)**2/2 + a**2*c**3*x*cosh(e + f*x)**2/2 + a**2*c**3*x + a**2*c**3*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*c**3*sinh(e + f*x)/f - 3*a**2*c**2*d*x**2*sinh(e + f*x)**2/4 + 3*a**2*c**2*d*x**2*cosh(e + f*x)**2/4 + 3*a**2*c**2*d*x**2/2 + 3*a**2*c**2*d*x*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 6*a**2*c**2*d*x*sinh(e + f*x)/f - 3*a**2*c**2*d*sinh(e + f*x)**2/(4*f**2) - 6*a**2*c**2*d*cosh(e + f*x)/f**2 - a**2*c*d**2*x**3*sinh(e + f*x)**2/2 + a**2*c*d**2*x**3*cosh(e + f*x)**2/2 + a**2*c*d**2*x**3 + 3*a**2*c*d**2*x**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 6*a**2*c*d**2*x**2*sinh(e + f*x)/f - 3*a**2*c*d**2*x*sinh(e + f*x)**2/(4*f**2) - 3*a**2*c*d**2*x*cosh(e + f*x)**2/(4*f**2) - 12*a**2*c*d**2*x*cosh(e + f*x)/f**2 + 3*a**2*c*d**2*sinh(e + f*x)*cosh(e + f*x)/(4*f**3) + 12*a**2*c*d**2*sinh(e + f*x)/f**3 - a**2*d**3*x**4*sinh(e + f*x)**2/8 + a**2*d**3*x**4*cosh(e + f*x)**2/8 + a**2*d**3*x**4/4 + a**2*d**3*x**3*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*d**3*x**3*sinh(e + f*x)/f - 3*a**2*d**3*x**2*sinh(e + f*x)**2/(8*f**2) - 3*a**2*d**3*x**2*cosh(e + f*x)**2/(8*f**2) - 6*a**2*d**3*x**2*cosh(e + f*x)/f**2 + 3*a**2*d**3*x*sinh(e + f*x)*cosh(e + f*x)/(4*f**3) + 12*a**2*d**3*x*sinh(e + f*x)/f**3 - 3*a**2*d**3*sinh(e + f*x)**2/(8*f**4) - 12*a**2*d**3*cosh(e + f*x)/f**4, Ne(f, 0)), ((a*cosh(e) + a)**2*(c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4), True))","A",0
106,1,456,0,1.703738," ","integrate((d*x+c)**2*(a+a*cosh(f*x+e))**2,x)","\begin{cases} - \frac{a^{2} c^{2} x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{a^{2} c^{2} x \cosh^{2}{\left(e + f x \right)}}{2} + a^{2} c^{2} x + \frac{a^{2} c^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} c^{2} \sinh{\left(e + f x \right)}}{f} - \frac{a^{2} c d x^{2} \sinh^{2}{\left(e + f x \right)}}{2} + \frac{a^{2} c d x^{2} \cosh^{2}{\left(e + f x \right)}}{2} + a^{2} c d x^{2} + \frac{a^{2} c d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{f} + \frac{4 a^{2} c d x \sinh{\left(e + f x \right)}}{f} - \frac{a^{2} c d \sinh^{2}{\left(e + f x \right)}}{2 f^{2}} - \frac{4 a^{2} c d \cosh{\left(e + f x \right)}}{f^{2}} - \frac{a^{2} d^{2} x^{3} \sinh^{2}{\left(e + f x \right)}}{6} + \frac{a^{2} d^{2} x^{3} \cosh^{2}{\left(e + f x \right)}}{6} + \frac{a^{2} d^{2} x^{3}}{3} + \frac{a^{2} d^{2} x^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{a^{2} d^{2} x \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{a^{2} d^{2} x \cosh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{4 a^{2} d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{a^{2} d^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} + \frac{4 a^{2} d^{2} \sinh{\left(e + f x \right)}}{f^{3}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right)^{2} \left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c**2*x*sinh(e + f*x)**2/2 + a**2*c**2*x*cosh(e + f*x)**2/2 + a**2*c**2*x + a**2*c**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*c**2*sinh(e + f*x)/f - a**2*c*d*x**2*sinh(e + f*x)**2/2 + a**2*c*d*x**2*cosh(e + f*x)**2/2 + a**2*c*d*x**2 + a**2*c*d*x*sinh(e + f*x)*cosh(e + f*x)/f + 4*a**2*c*d*x*sinh(e + f*x)/f - a**2*c*d*sinh(e + f*x)**2/(2*f**2) - 4*a**2*c*d*cosh(e + f*x)/f**2 - a**2*d**2*x**3*sinh(e + f*x)**2/6 + a**2*d**2*x**3*cosh(e + f*x)**2/6 + a**2*d**2*x**3/3 + a**2*d**2*x**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*d**2*x**2*sinh(e + f*x)/f - a**2*d**2*x*sinh(e + f*x)**2/(4*f**2) - a**2*d**2*x*cosh(e + f*x)**2/(4*f**2) - 4*a**2*d**2*x*cosh(e + f*x)/f**2 + a**2*d**2*sinh(e + f*x)*cosh(e + f*x)/(4*f**3) + 4*a**2*d**2*sinh(e + f*x)/f**3, Ne(f, 0)), ((a*cosh(e) + a)**2*(c**2*x + c*d*x**2 + d**2*x**3/3), True))","A",0
107,1,219,0,0.668754," ","integrate((d*x+c)*(a+a*cosh(f*x+e))**2,x)","\begin{cases} - \frac{a^{2} c x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{a^{2} c x \cosh^{2}{\left(e + f x \right)}}{2} + a^{2} c x + \frac{a^{2} c \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} c \sinh{\left(e + f x \right)}}{f} - \frac{a^{2} d x^{2} \sinh^{2}{\left(e + f x \right)}}{4} + \frac{a^{2} d x^{2} \cosh^{2}{\left(e + f x \right)}}{4} + \frac{a^{2} d x^{2}}{2} + \frac{a^{2} d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} + \frac{2 a^{2} d x \sinh{\left(e + f x \right)}}{f} - \frac{a^{2} d \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{2 a^{2} d \cosh{\left(e + f x \right)}}{f^{2}} & \text{for}\: f \neq 0 \\\left(a \cosh{\left(e \right)} + a\right)^{2} \left(c x + \frac{d x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*c*x*sinh(e + f*x)**2/2 + a**2*c*x*cosh(e + f*x)**2/2 + a**2*c*x + a**2*c*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*c*sinh(e + f*x)/f - a**2*d*x**2*sinh(e + f*x)**2/4 + a**2*d*x**2*cosh(e + f*x)**2/4 + a**2*d*x**2/2 + a**2*d*x*sinh(e + f*x)*cosh(e + f*x)/(2*f) + 2*a**2*d*x*sinh(e + f*x)/f - a**2*d*sinh(e + f*x)**2/(4*f**2) - 2*a**2*d*cosh(e + f*x)/f**2, Ne(f, 0)), ((a*cosh(e) + a)**2*(c*x + d*x**2/2), True))","A",0
108,0,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))**2/(d*x+c),x)","a^{2} \left(\int \frac{2 \cosh{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{\cosh^{2}{\left(e + f x \right)}}{c + d x}\, dx + \int \frac{1}{c + d x}\, dx\right)"," ",0,"a**2*(Integral(2*cosh(e + f*x)/(c + d*x), x) + Integral(cosh(e + f*x)**2/(c + d*x), x) + Integral(1/(c + d*x), x))","F",0
109,0,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))**2/(d*x+c)**2,x)","a^{2} \left(\int \frac{2 \cosh{\left(e + f x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{\cosh^{2}{\left(e + f x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{1}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx\right)"," ",0,"a**2*(Integral(2*cosh(e + f*x)/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(cosh(e + f*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(1/(c**2 + 2*c*d*x + d**2*x**2), x))","F",0
110,0,0,0,0.000000," ","integrate((a+a*cosh(f*x+e))**2/(d*x+c)**3,x)","a^{2} \left(\int \frac{2 \cosh{\left(e + f x \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{\cosh^{2}{\left(e + f x \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{1}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx\right)"," ",0,"a**2*(Integral(2*cosh(e + f*x)/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(cosh(e + f*x)**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(1/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))","F",0
111,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+a*cosh(f*x+e)),x)","\frac{\int \frac{c^{3}}{\cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{3} x^{3}}{\cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c d^{2} x^{2}}{\cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c^{2} d x}{\cosh{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**3/(cosh(e + f*x) + 1), x) + Integral(d**3*x**3/(cosh(e + f*x) + 1), x) + Integral(3*c*d**2*x**2/(cosh(e + f*x) + 1), x) + Integral(3*c**2*d*x/(cosh(e + f*x) + 1), x))/a","F",0
112,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+a*cosh(f*x+e)),x)","\frac{\int \frac{c^{2}}{\cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{2} x^{2}}{\cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{2 c d x}{\cosh{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"(Integral(c**2/(cosh(e + f*x) + 1), x) + Integral(d**2*x**2/(cosh(e + f*x) + 1), x) + Integral(2*c*d*x/(cosh(e + f*x) + 1), x))/a","F",0
113,1,76,0,0.724963," ","integrate((d*x+c)/(a+a*cosh(f*x+e)),x)","\begin{cases} \frac{c \tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{a f} + \frac{d x \tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{a f} - \frac{d x}{a f} + \frac{2 d \log{\left(\tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)} + 1 \right)}}{a f^{2}} & \text{for}\: f \neq 0 \\\frac{c x + \frac{d x^{2}}{2}}{a \cosh{\left(e \right)} + a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*tanh(e/2 + f*x/2)/(a*f) + d*x*tanh(e/2 + f*x/2)/(a*f) - d*x/(a*f) + 2*d*log(tanh(e/2 + f*x/2) + 1)/(a*f**2), Ne(f, 0)), ((c*x + d*x**2/2)/(a*cosh(e) + a), True))","A",0
114,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e)),x)","\frac{\int \frac{1}{c \cosh{\left(e + f x \right)} + c + d x \cosh{\left(e + f x \right)} + d x}\, dx}{a}"," ",0,"Integral(1/(c*cosh(e + f*x) + c + d*x*cosh(e + f*x) + d*x), x)/a","F",0
115,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*cosh(f*x+e)),x)","\frac{\int \frac{1}{c^{2} \cosh{\left(e + f x \right)} + c^{2} + 2 c d x \cosh{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \cosh{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a}"," ",0,"Integral(1/(c**2*cosh(e + f*x) + c**2 + 2*c*d*x*cosh(e + f*x) + 2*c*d*x + d**2*x**2*cosh(e + f*x) + d**2*x**2), x)/a","F",0
116,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+a*cosh(f*x+e))**2,x)","\frac{\int \frac{c^{3}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{3} x^{3}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c d^{2} x^{2}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{3 c^{2} d x}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**3/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x) + Integral(d**3*x**3/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x) + Integral(3*c*d**2*x**2/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x) + Integral(3*c**2*d*x/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x))/a**2","F",0
117,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+a*cosh(f*x+e))**2,x)","\frac{\int \frac{c^{2}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{d^{2} x^{2}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx + \int \frac{2 c d x}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"(Integral(c**2/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x) + Integral(d**2*x**2/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x) + Integral(2*c*d*x/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x))/a**2","F",0
118,1,156,0,1.263251," ","integrate((d*x+c)/(a+a*cosh(f*x+e))**2,x)","\begin{cases} - \frac{c \tanh^{3}{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{6 a^{2} f} + \frac{c \tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{2 a^{2} f} - \frac{d x \tanh^{3}{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{6 a^{2} f} + \frac{d x \tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{2 a^{2} f} - \frac{d x}{3 a^{2} f} + \frac{2 d \log{\left(\tanh{\left(\frac{e}{2} + \frac{f x}{2} \right)} + 1 \right)}}{3 a^{2} f^{2}} - \frac{d \tanh^{2}{\left(\frac{e}{2} + \frac{f x}{2} \right)}}{6 a^{2} f^{2}} & \text{for}\: f \neq 0 \\\frac{c x + \frac{d x^{2}}{2}}{\left(a \cosh{\left(e \right)} + a\right)^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-c*tanh(e/2 + f*x/2)**3/(6*a**2*f) + c*tanh(e/2 + f*x/2)/(2*a**2*f) - d*x*tanh(e/2 + f*x/2)**3/(6*a**2*f) + d*x*tanh(e/2 + f*x/2)/(2*a**2*f) - d*x/(3*a**2*f) + 2*d*log(tanh(e/2 + f*x/2) + 1)/(3*a**2*f**2) - d*tanh(e/2 + f*x/2)**2/(6*a**2*f**2), Ne(f, 0)), ((c*x + d*x**2/2)/(a*cosh(e) + a)**2, True))","A",0
119,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+a*cosh(f*x+e))**2,x)","\frac{\int \frac{1}{c \cosh^{2}{\left(e + f x \right)} + 2 c \cosh{\left(e + f x \right)} + c + d x \cosh^{2}{\left(e + f x \right)} + 2 d x \cosh{\left(e + f x \right)} + d x}\, dx}{a^{2}}"," ",0,"Integral(1/(c*cosh(e + f*x)**2 + 2*c*cosh(e + f*x) + c + d*x*cosh(e + f*x)**2 + 2*d*x*cosh(e + f*x) + d*x), x)/a**2","F",0
120,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+a*cosh(f*x+e))**2,x)","\frac{\int \frac{1}{c^{2} \cosh^{2}{\left(e + f x \right)} + 2 c^{2} \cosh{\left(e + f x \right)} + c^{2} + 2 c d x \cosh^{2}{\left(e + f x \right)} + 4 c d x \cosh{\left(e + f x \right)} + 2 c d x + d^{2} x^{2} \cosh^{2}{\left(e + f x \right)} + 2 d^{2} x^{2} \cosh{\left(e + f x \right)} + d^{2} x^{2}}\, dx}{a^{2}}"," ",0,"Integral(1/(c**2*cosh(e + f*x)**2 + 2*c**2*cosh(e + f*x) + c**2 + 2*c*d*x*cosh(e + f*x)**2 + 4*c*d*x*cosh(e + f*x) + 2*c*d*x + d**2*x**2*cosh(e + f*x)**2 + 2*d**2*x**2*cosh(e + f*x) + d**2*x**2), x)/a**2","F",0
121,0,0,0,0.000000," ","integrate(x**3*(a+a*cosh(d*x+c))**(1/2),x)","\int x^{3} \sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}\, dx"," ",0,"Integral(x**3*sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
122,0,0,0,0.000000," ","integrate(x**2*(a+a*cosh(d*x+c))**(1/2),x)","\int x^{2} \sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}\, dx"," ",0,"Integral(x**2*sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
123,0,0,0,0.000000," ","integrate(x*(a+a*cosh(d*x+c))**(1/2),x)","\int x \sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}\, dx"," ",0,"Integral(x*sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
124,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(1/2)/x,x)","\int \frac{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}{x}\, dx"," ",0,"Integral(sqrt(a*(cosh(c + d*x) + 1))/x, x)","F",0
125,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(1/2)/x**2,x)","\int \frac{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*(cosh(c + d*x) + 1))/x**2, x)","F",0
126,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(1/2)/x**3,x)","\int \frac{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a*(cosh(c + d*x) + 1))/x**3, x)","F",0
127,0,0,0,0.000000," ","integrate(x**3*(a+a*cosh(x))**(1/2),x)","\int x^{3} \sqrt{a \left(\cosh{\left(x \right)} + 1\right)}\, dx"," ",0,"Integral(x**3*sqrt(a*(cosh(x) + 1)), x)","F",0
128,0,0,0,0.000000," ","integrate(x**2*(a+a*cosh(x))**(1/2),x)","\int x^{2} \sqrt{a \left(\cosh{\left(x \right)} + 1\right)}\, dx"," ",0,"Integral(x**2*sqrt(a*(cosh(x) + 1)), x)","F",0
129,0,0,0,0.000000," ","integrate(x*(a+a*cosh(x))**(1/2),x)","\int x \sqrt{a \left(\cosh{\left(x \right)} + 1\right)}\, dx"," ",0,"Integral(x*sqrt(a*(cosh(x) + 1)), x)","F",0
130,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(1/2)/x,x)","\int \frac{\sqrt{a \left(\cosh{\left(x \right)} + 1\right)}}{x}\, dx"," ",0,"Integral(sqrt(a*(cosh(x) + 1))/x, x)","F",0
131,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(1/2)/x**2,x)","\int \frac{\sqrt{a \left(\cosh{\left(x \right)} + 1\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(a*(cosh(x) + 1))/x**2, x)","F",0
132,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(1/2)/x**3,x)","\int \frac{\sqrt{a \left(\cosh{\left(x \right)} + 1\right)}}{x^{3}}\, dx"," ",0,"Integral(sqrt(a*(cosh(x) + 1))/x**3, x)","F",0
133,-1,0,0,0.000000," ","integrate(x**3*(a+a*cosh(x))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,0,0,0,0.000000," ","integrate(x**2*(a+a*cosh(x))**(3/2),x)","\int x^{2} \left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(a*(cosh(x) + 1))**(3/2), x)","F",0
135,0,0,0,0.000000," ","integrate(x*(a+a*cosh(x))**(3/2),x)","\int x \left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(a*(cosh(x) + 1))**(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(3/2)/x,x)","\int \frac{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((a*(cosh(x) + 1))**(3/2)/x, x)","F",0
137,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(3/2)/x**2,x)","\int \frac{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((a*(cosh(x) + 1))**(3/2)/x**2, x)","F",0
138,0,0,0,0.000000," ","integrate((a+a*cosh(x))**(3/2)/x**3,x)","\int \frac{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((a*(cosh(x) + 1))**(3/2)/x**3, x)","F",0
139,0,0,0,0.000000," ","integrate(x**3/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{x^{3}}{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(x**3/sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
140,0,0,0,0.000000," ","integrate(x**2/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{x^{2}}{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(x**2/sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
141,0,0,0,0.000000," ","integrate(x/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{x}{\sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(x/sqrt(a*(cosh(c + d*x) + 1)), x)","F",0
142,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{1}{x \sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(a*(cosh(c + d*x) + 1))), x)","F",0
143,0,0,0,0.000000," ","integrate(1/x**2/(a+a*cosh(d*x+c))**(1/2),x)","\int \frac{1}{x^{2} \sqrt{a \left(\cosh{\left(c + d x \right)} + 1\right)}}\, dx"," ",0,"Integral(1/(x**2*sqrt(a*(cosh(c + d*x) + 1))), x)","F",0
144,0,0,0,0.000000," ","integrate(x**3/(a+a*cosh(x))**(3/2),x)","\int \frac{x^{3}}{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/(a*(cosh(x) + 1))**(3/2), x)","F",0
145,0,0,0,0.000000," ","integrate(x**2/(a+a*cosh(x))**(3/2),x)","\int \frac{x^{2}}{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/(a*(cosh(x) + 1))**(3/2), x)","F",0
146,0,0,0,0.000000," ","integrate(x/(a+a*cosh(x))**(3/2),x)","\int \frac{x}{\left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(a*(cosh(x) + 1))**(3/2), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x/(a+a*cosh(x))**(3/2),x)","\int \frac{1}{x \left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(a*(cosh(x) + 1))**(3/2)), x)","F",0
148,0,0,0,0.000000," ","integrate(1/x**2/(a+a*cosh(x))**(3/2),x)","\int \frac{1}{x^{2} \left(a \left(\cosh{\left(x \right)} + 1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(a*(cosh(x) + 1))**(3/2)), x)","F",0
149,0,0,0,0.000000," ","integrate((a+a*cosh(d*x+c))**(1/3)/x,x)","\int \frac{\sqrt[3]{a \left(\cosh{\left(c + d x \right)} + 1\right)}}{x}\, dx"," ",0,"Integral((a*(cosh(c + d*x) + 1))**(1/3)/x, x)","F",0
150,-1,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*cosh(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*cosh(f*x+e))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
152,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*cosh(f*x+e))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
153,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+a*cosh(f*x+e)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
154,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*cosh(f*x+e)),x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\cosh{\left(e + f x \right)} + 1}\, dx}{a}"," ",0,"Integral((c + d*x)**m/(cosh(e + f*x) + 1), x)/a","F",0
155,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+a*cosh(f*x+e))**2,x)","\frac{\int \frac{\left(c + d x\right)^{m}}{\cosh^{2}{\left(e + f x \right)} + 2 \cosh{\left(e + f x \right)} + 1}\, dx}{a^{2}}"," ",0,"Integral((c + d*x)**m/(cosh(e + f*x)**2 + 2*cosh(e + f*x) + 1), x)/a**2","F",0
156,1,264,0,1.409302," ","integrate((d*x+c)**3*(a+b*cosh(f*x+e)),x)","\begin{cases} a c^{3} x + \frac{3 a c^{2} d x^{2}}{2} + a c d^{2} x^{3} + \frac{a d^{3} x^{4}}{4} + \frac{b c^{3} \sinh{\left(e + f x \right)}}{f} + \frac{3 b c^{2} d x \sinh{\left(e + f x \right)}}{f} - \frac{3 b c^{2} d \cosh{\left(e + f x \right)}}{f^{2}} + \frac{3 b c d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{6 b c d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{6 b c d^{2} \sinh{\left(e + f x \right)}}{f^{3}} + \frac{b d^{3} x^{3} \sinh{\left(e + f x \right)}}{f} - \frac{3 b d^{3} x^{2} \cosh{\left(e + f x \right)}}{f^{2}} + \frac{6 b d^{3} x \sinh{\left(e + f x \right)}}{f^{3}} - \frac{6 b d^{3} \cosh{\left(e + f x \right)}}{f^{4}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right) \left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**3*x + 3*a*c**2*d*x**2/2 + a*c*d**2*x**3 + a*d**3*x**4/4 + b*c**3*sinh(e + f*x)/f + 3*b*c**2*d*x*sinh(e + f*x)/f - 3*b*c**2*d*cosh(e + f*x)/f**2 + 3*b*c*d**2*x**2*sinh(e + f*x)/f - 6*b*c*d**2*x*cosh(e + f*x)/f**2 + 6*b*c*d**2*sinh(e + f*x)/f**3 + b*d**3*x**3*sinh(e + f*x)/f - 3*b*d**3*x**2*cosh(e + f*x)/f**2 + 6*b*d**3*x*sinh(e + f*x)/f**3 - 6*b*d**3*cosh(e + f*x)/f**4, Ne(f, 0)), ((a + b*cosh(e))*(c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4), True))","A",0
157,1,151,0,0.637011," ","integrate((d*x+c)**2*(a+b*cosh(f*x+e)),x)","\begin{cases} a c^{2} x + a c d x^{2} + \frac{a d^{2} x^{3}}{3} + \frac{b c^{2} \sinh{\left(e + f x \right)}}{f} + \frac{2 b c d x \sinh{\left(e + f x \right)}}{f} - \frac{2 b c d \cosh{\left(e + f x \right)}}{f^{2}} + \frac{b d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{2 b d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{2 b d^{2} \sinh{\left(e + f x \right)}}{f^{3}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right) \left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**2*x + a*c*d*x**2 + a*d**2*x**3/3 + b*c**2*sinh(e + f*x)/f + 2*b*c*d*x*sinh(e + f*x)/f - 2*b*c*d*cosh(e + f*x)/f**2 + b*d**2*x**2*sinh(e + f*x)/f - 2*b*d**2*x*cosh(e + f*x)/f**2 + 2*b*d**2*sinh(e + f*x)/f**3, Ne(f, 0)), ((a + b*cosh(e))*(c**2*x + c*d*x**2 + d**2*x**3/3), True))","A",0
158,1,68,0,0.286199," ","integrate((d*x+c)*(a+b*cosh(f*x+e)),x)","\begin{cases} a c x + \frac{a d x^{2}}{2} + \frac{b c \sinh{\left(e + f x \right)}}{f} + \frac{b d x \sinh{\left(e + f x \right)}}{f} - \frac{b d \cosh{\left(e + f x \right)}}{f^{2}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right) \left(c x + \frac{d x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c*x + a*d*x**2/2 + b*c*sinh(e + f*x)/f + b*d*x*sinh(e + f*x)/f - b*d*cosh(e + f*x)/f**2, Ne(f, 0)), ((a + b*cosh(e))*(c*x + d*x**2/2), True))","A",0
159,0,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))/(d*x+c),x)","\int \frac{a + b \cosh{\left(e + f x \right)}}{c + d x}\, dx"," ",0,"Integral((a + b*cosh(e + f*x))/(c + d*x), x)","F",0
160,-1,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))/(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,1,779,0,3.606814," ","integrate((d*x+c)**3*(a+b*cosh(f*x+e))**2,x)","\begin{cases} a^{2} c^{3} x + \frac{3 a^{2} c^{2} d x^{2}}{2} + a^{2} c d^{2} x^{3} + \frac{a^{2} d^{3} x^{4}}{4} + \frac{2 a b c^{3} \sinh{\left(e + f x \right)}}{f} + \frac{6 a b c^{2} d x \sinh{\left(e + f x \right)}}{f} - \frac{6 a b c^{2} d \cosh{\left(e + f x \right)}}{f^{2}} + \frac{6 a b c d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{12 a b c d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{12 a b c d^{2} \sinh{\left(e + f x \right)}}{f^{3}} + \frac{2 a b d^{3} x^{3} \sinh{\left(e + f x \right)}}{f} - \frac{6 a b d^{3} x^{2} \cosh{\left(e + f x \right)}}{f^{2}} + \frac{12 a b d^{3} x \sinh{\left(e + f x \right)}}{f^{3}} - \frac{12 a b d^{3} \cosh{\left(e + f x \right)}}{f^{4}} - \frac{b^{2} c^{3} x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c^{3} x \cosh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c^{3} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{3 b^{2} c^{2} d x^{2} \sinh^{2}{\left(e + f x \right)}}{4} + \frac{3 b^{2} c^{2} d x^{2} \cosh^{2}{\left(e + f x \right)}}{4} + \frac{3 b^{2} c^{2} d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{3 b^{2} c^{2} d \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{b^{2} c d^{2} x^{3} \sinh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c d^{2} x^{3} \cosh^{2}{\left(e + f x \right)}}{2} + \frac{3 b^{2} c d^{2} x^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{3 b^{2} c d^{2} x \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{3 b^{2} c d^{2} x \cosh^{2}{\left(e + f x \right)}}{4 f^{2}} + \frac{3 b^{2} c d^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} - \frac{b^{2} d^{3} x^{4} \sinh^{2}{\left(e + f x \right)}}{8} + \frac{b^{2} d^{3} x^{4} \cosh^{2}{\left(e + f x \right)}}{8} + \frac{b^{2} d^{3} x^{3} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{3 b^{2} d^{3} x^{2} \sinh^{2}{\left(e + f x \right)}}{8 f^{2}} - \frac{3 b^{2} d^{3} x^{2} \cosh^{2}{\left(e + f x \right)}}{8 f^{2}} + \frac{3 b^{2} d^{3} x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} - \frac{3 b^{2} d^{3} \sinh^{2}{\left(e + f x \right)}}{8 f^{4}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right)^{2} \left(c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**3*x + 3*a**2*c**2*d*x**2/2 + a**2*c*d**2*x**3 + a**2*d**3*x**4/4 + 2*a*b*c**3*sinh(e + f*x)/f + 6*a*b*c**2*d*x*sinh(e + f*x)/f - 6*a*b*c**2*d*cosh(e + f*x)/f**2 + 6*a*b*c*d**2*x**2*sinh(e + f*x)/f - 12*a*b*c*d**2*x*cosh(e + f*x)/f**2 + 12*a*b*c*d**2*sinh(e + f*x)/f**3 + 2*a*b*d**3*x**3*sinh(e + f*x)/f - 6*a*b*d**3*x**2*cosh(e + f*x)/f**2 + 12*a*b*d**3*x*sinh(e + f*x)/f**3 - 12*a*b*d**3*cosh(e + f*x)/f**4 - b**2*c**3*x*sinh(e + f*x)**2/2 + b**2*c**3*x*cosh(e + f*x)**2/2 + b**2*c**3*sinh(e + f*x)*cosh(e + f*x)/(2*f) - 3*b**2*c**2*d*x**2*sinh(e + f*x)**2/4 + 3*b**2*c**2*d*x**2*cosh(e + f*x)**2/4 + 3*b**2*c**2*d*x*sinh(e + f*x)*cosh(e + f*x)/(2*f) - 3*b**2*c**2*d*sinh(e + f*x)**2/(4*f**2) - b**2*c*d**2*x**3*sinh(e + f*x)**2/2 + b**2*c*d**2*x**3*cosh(e + f*x)**2/2 + 3*b**2*c*d**2*x**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) - 3*b**2*c*d**2*x*sinh(e + f*x)**2/(4*f**2) - 3*b**2*c*d**2*x*cosh(e + f*x)**2/(4*f**2) + 3*b**2*c*d**2*sinh(e + f*x)*cosh(e + f*x)/(4*f**3) - b**2*d**3*x**4*sinh(e + f*x)**2/8 + b**2*d**3*x**4*cosh(e + f*x)**2/8 + b**2*d**3*x**3*sinh(e + f*x)*cosh(e + f*x)/(2*f) - 3*b**2*d**3*x**2*sinh(e + f*x)**2/(8*f**2) - 3*b**2*d**3*x**2*cosh(e + f*x)**2/(8*f**2) + 3*b**2*d**3*x*sinh(e + f*x)*cosh(e + f*x)/(4*f**3) - 3*b**2*d**3*sinh(e + f*x)**2/(8*f**4), Ne(f, 0)), ((a + b*cosh(e))**2*(c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4), True))","A",0
163,1,456,0,1.649813," ","integrate((d*x+c)**2*(a+b*cosh(f*x+e))**2,x)","\begin{cases} a^{2} c^{2} x + a^{2} c d x^{2} + \frac{a^{2} d^{2} x^{3}}{3} + \frac{2 a b c^{2} \sinh{\left(e + f x \right)}}{f} + \frac{4 a b c d x \sinh{\left(e + f x \right)}}{f} - \frac{4 a b c d \cosh{\left(e + f x \right)}}{f^{2}} + \frac{2 a b d^{2} x^{2} \sinh{\left(e + f x \right)}}{f} - \frac{4 a b d^{2} x \cosh{\left(e + f x \right)}}{f^{2}} + \frac{4 a b d^{2} \sinh{\left(e + f x \right)}}{f^{3}} - \frac{b^{2} c^{2} x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c^{2} x \cosh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{b^{2} c d x^{2} \sinh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c d x^{2} \cosh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{f} - \frac{b^{2} c d \sinh^{2}{\left(e + f x \right)}}{2 f^{2}} - \frac{b^{2} d^{2} x^{3} \sinh^{2}{\left(e + f x \right)}}{6} + \frac{b^{2} d^{2} x^{3} \cosh^{2}{\left(e + f x \right)}}{6} + \frac{b^{2} d^{2} x^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{b^{2} d^{2} x \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} - \frac{b^{2} d^{2} x \cosh^{2}{\left(e + f x \right)}}{4 f^{2}} + \frac{b^{2} d^{2} \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{4 f^{3}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right)^{2} \left(c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**2*x + a**2*c*d*x**2 + a**2*d**2*x**3/3 + 2*a*b*c**2*sinh(e + f*x)/f + 4*a*b*c*d*x*sinh(e + f*x)/f - 4*a*b*c*d*cosh(e + f*x)/f**2 + 2*a*b*d**2*x**2*sinh(e + f*x)/f - 4*a*b*d**2*x*cosh(e + f*x)/f**2 + 4*a*b*d**2*sinh(e + f*x)/f**3 - b**2*c**2*x*sinh(e + f*x)**2/2 + b**2*c**2*x*cosh(e + f*x)**2/2 + b**2*c**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) - b**2*c*d*x**2*sinh(e + f*x)**2/2 + b**2*c*d*x**2*cosh(e + f*x)**2/2 + b**2*c*d*x*sinh(e + f*x)*cosh(e + f*x)/f - b**2*c*d*sinh(e + f*x)**2/(2*f**2) - b**2*d**2*x**3*sinh(e + f*x)**2/6 + b**2*d**2*x**3*cosh(e + f*x)**2/6 + b**2*d**2*x**2*sinh(e + f*x)*cosh(e + f*x)/(2*f) - b**2*d**2*x*sinh(e + f*x)**2/(4*f**2) - b**2*d**2*x*cosh(e + f*x)**2/(4*f**2) + b**2*d**2*sinh(e + f*x)*cosh(e + f*x)/(4*f**3), Ne(f, 0)), ((a + b*cosh(e))**2*(c**2*x + c*d*x**2 + d**2*x**3/3), True))","A",0
164,1,219,0,0.659606," ","integrate((d*x+c)*(a+b*cosh(f*x+e))**2,x)","\begin{cases} a^{2} c x + \frac{a^{2} d x^{2}}{2} + \frac{2 a b c \sinh{\left(e + f x \right)}}{f} + \frac{2 a b d x \sinh{\left(e + f x \right)}}{f} - \frac{2 a b d \cosh{\left(e + f x \right)}}{f^{2}} - \frac{b^{2} c x \sinh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c x \cosh^{2}{\left(e + f x \right)}}{2} + \frac{b^{2} c \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{b^{2} d x^{2} \sinh^{2}{\left(e + f x \right)}}{4} + \frac{b^{2} d x^{2} \cosh^{2}{\left(e + f x \right)}}{4} + \frac{b^{2} d x \sinh{\left(e + f x \right)} \cosh{\left(e + f x \right)}}{2 f} - \frac{b^{2} d \sinh^{2}{\left(e + f x \right)}}{4 f^{2}} & \text{for}\: f \neq 0 \\\left(a + b \cosh{\left(e \right)}\right)^{2} \left(c x + \frac{d x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c*x + a**2*d*x**2/2 + 2*a*b*c*sinh(e + f*x)/f + 2*a*b*d*x*sinh(e + f*x)/f - 2*a*b*d*cosh(e + f*x)/f**2 - b**2*c*x*sinh(e + f*x)**2/2 + b**2*c*x*cosh(e + f*x)**2/2 + b**2*c*sinh(e + f*x)*cosh(e + f*x)/(2*f) - b**2*d*x**2*sinh(e + f*x)**2/4 + b**2*d*x**2*cosh(e + f*x)**2/4 + b**2*d*x*sinh(e + f*x)*cosh(e + f*x)/(2*f) - b**2*d*sinh(e + f*x)**2/(4*f**2), Ne(f, 0)), ((a + b*cosh(e))**2*(c*x + d*x**2/2), True))","A",0
165,0,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))**2/(d*x+c),x)","\int \frac{\left(a + b \cosh{\left(e + f x \right)}\right)^{2}}{c + d x}\, dx"," ",0,"Integral((a + b*cosh(e + f*x))**2/(c + d*x), x)","F",0
166,0,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))**2/(d*x+c)**2,x)","\int \frac{\left(a + b \cosh{\left(e + f x \right)}\right)^{2}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral((a + b*cosh(e + f*x))**2/(c + d*x)**2, x)","F",0
167,0,0,0,0.000000," ","integrate((a+b*cosh(f*x+e))**2/(d*x+c)**3,x)","\int \frac{\left(a + b \cosh{\left(e + f x \right)}\right)^{2}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral((a + b*cosh(e + f*x))**2/(c + d*x)**3, x)","F",0
168,0,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*cosh(f*x+e)),x)","\int \frac{\left(c + d x\right)^{3}}{a + b \cosh{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**3/(a + b*cosh(e + f*x)), x)","F",0
169,0,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*cosh(f*x+e)),x)","\int \frac{\left(c + d x\right)^{2}}{a + b \cosh{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**2/(a + b*cosh(e + f*x)), x)","F",0
170,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e)),x)","\int \frac{c + d x}{a + b \cosh{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)/(a + b*cosh(e + f*x)), x)","F",0
171,0,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e)),x)","\int \frac{1}{\left(a + b \cosh{\left(e + f x \right)}\right) \left(c + d x\right)}\, dx"," ",0,"Integral(1/((a + b*cosh(e + f*x))*(c + d*x)), x)","F",0
172,0,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*cosh(f*x+e)),x)","\int \frac{1}{\left(a + b \cosh{\left(e + f x \right)}\right) \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(1/((a + b*cosh(e + f*x))*(c + d*x)**2), x)","F",0
173,-1,0,0,0.000000," ","integrate((d*x+c)**3/(a+b*cosh(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((d*x+c)**2/(a+b*cosh(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((d*x+c)/(a+b*cosh(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate(1/(d*x+c)/(a+b*cosh(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate(1/(d*x+c)**2/(a+b*cosh(f*x+e))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*cosh(f*x+e))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*cosh(f*x+e))**3,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
180,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*cosh(f*x+e))**2,x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
181,-2,0,0,0.000000," ","integrate((d*x+c)**m*(a+b*cosh(f*x+e)),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
182,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+b*cosh(f*x+e)),x)","\int \frac{\left(c + d x\right)^{m}}{a + b \cosh{\left(e + f x \right)}}\, dx"," ",0,"Integral((c + d*x)**m/(a + b*cosh(e + f*x)), x)","F",0
183,0,0,0,0.000000," ","integrate((d*x+c)**m/(a+b*cosh(f*x+e))**2,x)","\int \frac{\left(c + d x\right)^{m}}{\left(a + b \cosh{\left(e + f x \right)}\right)^{2}}\, dx"," ",0,"Integral((c + d*x)**m/(a + b*cosh(e + f*x))**2, x)","F",0
