1,0,0,0,0.000000," ","integrate((g*x+f)**3*(a+b*acos(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)^{3}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))*(f + g*x)**3, x)","F",0
2,0,0,0,0.000000," ","integrate((g*x+f)**2*(a+b*acos(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)^{2}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))*(f + g*x)**2, x)","F",0
3,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*acos(c*x))*(-c**2*d*x**2+d)**(1/2),x)","\int \sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))*(f + g*x), x)","F",0
4,0,0,0,0.000000," ","integrate((a+b*acos(c*x))*(-c**2*d*x**2+d)**(1/2)/(g*x+f),x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right)}{f + g x}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))/(f + g*x), x)","F",0
5,0,0,0,0.000000," ","integrate((a+b*acos(c*x))*(-c**2*d*x**2+d)**(1/2)/(g*x+f)**2,x)","\int \frac{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right)}{\left(f + g x\right)^{2}}\, dx"," ",0,"Integral(sqrt(-d*(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))/(f + g*x)**2, x)","F",0
6,0,0,0,0.000000," ","integrate((g*x+f)**3*(-c**2*d*x**2+d)**(3/2)*(a+b*acos(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)^{3}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acos(c*x))*(f + g*x)**3, x)","F",0
7,0,0,0,0.000000," ","integrate((g*x+f)**2*(-c**2*d*x**2+d)**(3/2)*(a+b*acos(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)^{2}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acos(c*x))*(f + g*x)**2, x)","F",0
8,0,0,0,0.000000," ","integrate((g*x+f)*(-c**2*d*x**2+d)**(3/2)*(a+b*acos(c*x)),x)","\int \left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(f + g x\right)\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acos(c*x))*(f + g*x), x)","F",0
9,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(3/2)*(a+b*acos(c*x))/(g*x+f),x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{3}{2}} \left(a + b \operatorname{acos}{\left(c x \right)}\right)}{f + g x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(3/2)*(a + b*acos(c*x))/(f + g*x), x)","F",0
10,-1,0,0,0.000000," ","integrate((g*x+f)**3*(-c**2*d*x**2+d)**(5/2)*(a+b*acos(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,-1,0,0,0.000000," ","integrate((g*x+f)**2*(-c**2*d*x**2+d)**(5/2)*(a+b*acos(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
12,-1,0,0,0.000000," ","integrate((g*x+f)*(-c**2*d*x**2+d)**(5/2)*(a+b*acos(c*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,0,0,0,0.000000," ","integrate((-c**2*d*x**2+d)**(5/2)*(a+b*acos(c*x))/(g*x+f),x)","\int \frac{\left(- d \left(c x - 1\right) \left(c x + 1\right)\right)^{\frac{5}{2}} \left(a + b \operatorname{acos}{\left(c x \right)}\right)}{f + g x}\, dx"," ",0,"Integral((-d*(c*x - 1)*(c*x + 1))**(5/2)*(a + b*acos(c*x))/(f + g*x), x)","F",0
14,-2,0,0,0.000000," ","integrate((g*x+f)**3*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
15,-2,0,0,0.000000," ","integrate((g*x+f)**2*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
16,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*acos(c*x))/(-c**2*d*x**2+d)**(1/2),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
17,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/(g*x+f)/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acos}{\left(c x \right)}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(f + g x\right)}\, dx"," ",0,"Integral((a + b*acos(c*x))/(sqrt(-d*(c*x - 1)*(c*x + 1))*(f + g*x)), x)","F",0
18,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/(g*x+f)**2/(-c**2*d*x**2+d)**(1/2),x)","\int \frac{a + b \operatorname{acos}{\left(c x \right)}}{\sqrt{- d \left(c x - 1\right) \left(c x + 1\right)} \left(f + g x\right)^{2}}\, dx"," ",0,"Integral((a + b*acos(c*x))/(sqrt(-d*(c*x - 1)*(c*x + 1))*(f + g*x)**2), x)","F",0
19,-1,0,0,0.000000," ","integrate((a+b*acos(c*x))**n*ln(h*(g*x+f)**m)/(-c**2*x**2+1)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,0,0,0,0.000000," ","integrate((a+b*acos(c*x))**2*ln(h*(g*x+f)**m)/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(a + b \operatorname{acos}{\left(c x \right)}\right)^{2} \log{\left(h \left(f + g x\right)^{m} \right)}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acos(c*x))**2*log(h*(f + g*x)**m)/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
21,0,0,0,0.000000," ","integrate((a+b*acos(c*x))*ln(h*(g*x+f)**m)/(-c**2*x**2+1)**(1/2),x)","\int \frac{\left(a + b \operatorname{acos}{\left(c x \right)}\right) \log{\left(h \left(f + g x\right)^{m} \right)}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral((a + b*acos(c*x))*log(h*(f + g*x)**m)/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
22,0,0,0,0.000000," ","integrate(ln(h*(g*x+f)**m)/(-c**2*x**2+1)**(1/2),x)","\int \frac{\log{\left(h \left(f + g x\right)^{m} \right)}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)}}\, dx"," ",0,"Integral(log(h*(f + g*x)**m)/sqrt(-(c*x - 1)*(c*x + 1)), x)","F",0
23,0,0,0,0.000000," ","integrate(ln(h*(g*x+f)**m)/(a+b*acos(c*x))/(-c**2*x**2+1)**(1/2),x)","\int \frac{\log{\left(h \left(f + g x\right)^{m} \right)}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right)} \left(a + b \operatorname{acos}{\left(c x \right)}\right)}\, dx"," ",0,"Integral(log(h*(f + g*x)**m)/(sqrt(-(c*x - 1)*(c*x + 1))*(a + b*acos(c*x))), x)","F",0
24,1,255,0,1.349837," ","integrate(x**3*acos(b*x+a),x)","\begin{cases} - \frac{a^{4} \operatorname{acos}{\left(a + b x \right)}}{4 b^{4}} + \frac{25 a^{3} \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{48 b^{4}} - \frac{13 a^{2} x \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{48 b^{3}} - \frac{3 a^{2} \operatorname{acos}{\left(a + b x \right)}}{4 b^{4}} + \frac{7 a x^{2} \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{48 b^{2}} + \frac{55 a \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{96 b^{4}} + \frac{x^{4} \operatorname{acos}{\left(a + b x \right)}}{4} - \frac{x^{3} \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{16 b} - \frac{3 x \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{32 b^{3}} - \frac{3 \operatorname{acos}{\left(a + b x \right)}}{32 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acos}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*acos(a + b*x)/(4*b**4) + 25*a**3*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(48*b**4) - 13*a**2*x*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(48*b**3) - 3*a**2*acos(a + b*x)/(4*b**4) + 7*a*x**2*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(48*b**2) + 55*a*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(96*b**4) + x**4*acos(a + b*x)/4 - x**3*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(16*b) - 3*x*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(32*b**3) - 3*acos(a + b*x)/(32*b**4), Ne(b, 0)), (x**4*acos(a)/4, True))","A",0
25,1,170,0,0.638615," ","integrate(x**2*acos(b*x+a),x)","\begin{cases} \frac{a^{3} \operatorname{acos}{\left(a + b x \right)}}{3 b^{3}} - \frac{11 a^{2} \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{18 b^{3}} + \frac{5 a x \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{18 b^{2}} + \frac{a \operatorname{acos}{\left(a + b x \right)}}{2 b^{3}} + \frac{x^{3} \operatorname{acos}{\left(a + b x \right)}}{3} - \frac{x^{2} \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{9 b} - \frac{2 \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{9 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{acos}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*acos(a + b*x)/(3*b**3) - 11*a**2*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(18*b**3) + 5*a*x*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(18*b**2) + a*acos(a + b*x)/(2*b**3) + x**3*acos(a + b*x)/3 - x**2*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(9*b) - 2*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(9*b**3), Ne(b, 0)), (x**3*acos(a)/3, True))","A",0
26,1,104,0,0.288092," ","integrate(x*acos(b*x+a),x)","\begin{cases} - \frac{a^{2} \operatorname{acos}{\left(a + b x \right)}}{2 b^{2}} + \frac{3 a \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{4 b^{2}} + \frac{x^{2} \operatorname{acos}{\left(a + b x \right)}}{2} - \frac{x \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{4 b} - \frac{\operatorname{acos}{\left(a + b x \right)}}{4 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{acos}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*acos(a + b*x)/(2*b**2) + 3*a*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(4*b**2) + x**2*acos(a + b*x)/2 - x*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/(4*b) - acos(a + b*x)/(4*b**2), Ne(b, 0)), (x**2*acos(a)/2, True))","A",0
27,1,46,0,0.151093," ","integrate(acos(b*x+a),x)","\begin{cases} \frac{a \operatorname{acos}{\left(a + b x \right)}}{b} + x \operatorname{acos}{\left(a + b x \right)} - \frac{\sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{b} & \text{for}\: b \neq 0 \\x \operatorname{acos}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acos(a + b*x)/b + x*acos(a + b*x) - sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/b, Ne(b, 0)), (x*acos(a), True))","A",0
28,0,0,0,0.000000," ","integrate(acos(b*x+a)/x,x)","\int \frac{\operatorname{acos}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(acos(a + b*x)/x, x)","F",0
29,0,0,0,0.000000," ","integrate(acos(b*x+a)/x**2,x)","\int \frac{\operatorname{acos}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(acos(a + b*x)/x**2, x)","F",0
30,0,0,0,0.000000," ","integrate(acos(b*x+a)/x**3,x)","\int \frac{\operatorname{acos}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(acos(a + b*x)/x**3, x)","F",0
31,0,0,0,0.000000," ","integrate(acos(b*x+a)/x**4,x)","\int \frac{\operatorname{acos}{\left(a + b x \right)}}{x^{4}}\, dx"," ",0,"Integral(acos(a + b*x)/x**4, x)","F",0
32,1,109,0,0.525168," ","integrate(acos(b*x+a)**3,x)","\begin{cases} \frac{a \operatorname{acos}^{3}{\left(a + b x \right)}}{b} - \frac{6 a \operatorname{acos}{\left(a + b x \right)}}{b} + x \operatorname{acos}^{3}{\left(a + b x \right)} - 6 x \operatorname{acos}{\left(a + b x \right)} - \frac{3 \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1} \operatorname{acos}^{2}{\left(a + b x \right)}}{b} + \frac{6 \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1}}{b} & \text{for}\: b \neq 0 \\x \operatorname{acos}^{3}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acos(a + b*x)**3/b - 6*a*acos(a + b*x)/b + x*acos(a + b*x)**3 - 6*x*acos(a + b*x) - 3*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)*acos(a + b*x)**2/b + 6*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)/b, Ne(b, 0)), (x*acos(a)**3, True))","A",0
33,1,63,0,0.243430," ","integrate(acos(b*x+a)**2,x)","\begin{cases} \frac{a \operatorname{acos}^{2}{\left(a + b x \right)}}{b} + x \operatorname{acos}^{2}{\left(a + b x \right)} - 2 x - \frac{2 \sqrt{- a^{2} - 2 a b x - b^{2} x^{2} + 1} \operatorname{acos}{\left(a + b x \right)}}{b} & \text{for}\: b \neq 0 \\x \operatorname{acos}^{2}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acos(a + b*x)**2/b + x*acos(a + b*x)**2 - 2*x - 2*sqrt(-a**2 - 2*a*b*x - b**2*x**2 + 1)*acos(a + b*x)/b, Ne(b, 0)), (x*acos(a)**2, True))","A",0
34,0,0,0,0.000000," ","integrate(1/acos(b*x+a),x)","\int \frac{1}{\operatorname{acos}{\left(a + b x \right)}}\, dx"," ",0,"Integral(1/acos(a + b*x), x)","F",0
35,0,0,0,0.000000," ","integrate(1/acos(b*x+a)**2,x)","\int \frac{1}{\operatorname{acos}^{2}{\left(a + b x \right)}}\, dx"," ",0,"Integral(acos(a + b*x)**(-2), x)","F",0
36,0,0,0,0.000000," ","integrate(1/acos(b*x+a)**3,x)","\int \frac{1}{\operatorname{acos}^{3}{\left(a + b x \right)}}\, dx"," ",0,"Integral(acos(a + b*x)**(-3), x)","F",0
37,0,0,0,0.000000," ","integrate(acos(b*x+a)**(5/2),x)","\int \operatorname{acos}^{\frac{5}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(acos(a + b*x)**(5/2), x)","F",0
38,0,0,0,0.000000," ","integrate(acos(b*x+a)**(3/2),x)","\int \operatorname{acos}^{\frac{3}{2}}{\left(a + b x \right)}\, dx"," ",0,"Integral(acos(a + b*x)**(3/2), x)","F",0
39,0,0,0,0.000000," ","integrate(acos(b*x+a)**(1/2),x)","\int \sqrt{\operatorname{acos}{\left(a + b x \right)}}\, dx"," ",0,"Integral(sqrt(acos(a + b*x)), x)","F",0
40,0,0,0,0.000000," ","integrate(1/acos(b*x+a)**(1/2),x)","\int \frac{1}{\sqrt{\operatorname{acos}{\left(a + b x \right)}}}\, dx"," ",0,"Integral(1/sqrt(acos(a + b*x)), x)","F",0
41,0,0,0,0.000000," ","integrate(1/acos(b*x+a)**(3/2),x)","\int \frac{1}{\operatorname{acos}^{\frac{3}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(acos(a + b*x)**(-3/2), x)","F",0
42,0,0,0,0.000000," ","integrate(1/acos(b*x+a)**(5/2),x)","\int \frac{1}{\operatorname{acos}^{\frac{5}{2}}{\left(a + b x \right)}}\, dx"," ",0,"Integral(acos(a + b*x)**(-5/2), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acos}{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*acos(c + d*x)), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(a-b*acos(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a - b \operatorname{acos}{\left(c + d x \right)}}}\, dx"," ",0,"Integral(1/sqrt(a - b*acos(c + d*x)), x)","F",0
45,0,0,0,0.000000," ","integrate(acos(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{acos}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(acos(a + b*x)/(a + b*x), x)/d","F",0
46,1,48,0,20.180098," ","integrate(acos(x)*(-x**2+1)**(1/2),x)","\left(\begin{cases} \frac{x \sqrt{1 - x^{2}}}{2} + \frac{\operatorname{asin}{\left(x \right)}}{2} & \text{for}\: x > -1 \wedge x < 1 \end{cases}\right) \operatorname{acos}{\left(x \right)} + \begin{cases} \text{NaN} & \text{for}\: x < -1 \\\frac{x^{2}}{4} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{4} - \frac{\pi^{2}}{16} - \frac{1}{4} & \text{for}\: x < 1 \\\text{NaN} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*sqrt(1 - x**2)/2 + asin(x)/2, (x > -1) & (x < 1)))*acos(x) + Piecewise((nan, x < -1), (x**2/4 + asin(x)**2/4 - pi**2/16 - 1/4, x < 1), (nan, True))","A",0
47,1,48,0,0.752895," ","integrate(x**3*acos(a*x**2),x)","\begin{cases} \frac{x^{4} \operatorname{acos}{\left(a x^{2} \right)}}{4} - \frac{x^{2} \sqrt{- a^{2} x^{4} + 1}}{8 a} - \frac{\operatorname{acos}{\left(a x^{2} \right)}}{8 a^{2}} & \text{for}\: a \neq 0 \\\frac{\pi x^{4}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**4*acos(a*x**2)/4 - x**2*sqrt(-a**2*x**4 + 1)/(8*a) - acos(a*x**2)/(8*a**2), Ne(a, 0)), (pi*x**4/8, True))","A",0
48,1,48,0,1.226289," ","integrate(x**2*acos(a*x**2),x)","\frac{a x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {a^{2} x^{4} e^{2 i \pi}} \right)}}{6 \Gamma\left(\frac{9}{4}\right)} + \frac{x^{3} \operatorname{acos}{\left(a x^{2} \right)}}{3}"," ",0,"a*x**5*gamma(5/4)*hyper((1/2, 5/4), (9/4,), a**2*x**4*exp_polar(2*I*pi))/(6*gamma(9/4)) + x**3*acos(a*x**2)/3","A",0
49,1,32,0,0.185580," ","integrate(x*acos(a*x**2),x)","\begin{cases} \frac{x^{2} \operatorname{acos}{\left(a x^{2} \right)}}{2} - \frac{\sqrt{- a^{2} x^{4} + 1}}{2 a} & \text{for}\: a \neq 0 \\\frac{\pi x^{2}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2*acos(a*x**2)/2 - sqrt(-a**2*x**4 + 1)/(2*a), Ne(a, 0)), (pi*x**2/4, True))","A",0
50,1,44,0,1.001919," ","integrate(acos(a*x**2),x)","\frac{a x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {a^{2} x^{4} e^{2 i \pi}} \right)}}{2 \Gamma\left(\frac{7}{4}\right)} + x \operatorname{acos}{\left(a x^{2} \right)}"," ",0,"a*x**3*gamma(3/4)*hyper((1/2, 3/4), (7/4,), a**2*x**4*exp_polar(2*I*pi))/(2*gamma(7/4)) + x*acos(a*x**2)","A",0
51,0,0,0,0.000000," ","integrate(acos(a*x**2)/x,x)","\int \frac{\operatorname{acos}{\left(a x^{2} \right)}}{x}\, dx"," ",0,"Integral(acos(a*x**2)/x, x)","F",0
52,1,44,0,1.073037," ","integrate(acos(a*x**2)/x**2,x)","- \frac{a x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{5}{4} \end{matrix}\middle| {a^{2} x^{4} e^{2 i \pi}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)} - \frac{\operatorname{acos}{\left(a x^{2} \right)}}{x}"," ",0,"-a*x*gamma(1/4)*hyper((1/4, 1/2), (5/4,), a**2*x**4*exp_polar(2*I*pi))/(2*gamma(5/4)) - acos(a*x**2)/x","A",0
53,1,97,0,2.865236," ","integrate(x**2*acos(a/x),x)","- \frac{a \left(\begin{cases} \frac{a^{2} \operatorname{acosh}{\left(\frac{x}{a} \right)}}{2} + \frac{a x \sqrt{-1 + \frac{x^{2}}{a^{2}}}}{2} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\- \frac{i a^{2} \operatorname{asin}{\left(\frac{x}{a} \right)}}{2} + \frac{i a x}{2 \sqrt{1 - \frac{x^{2}}{a^{2}}}} - \frac{i x^{3}}{2 a \sqrt{1 - \frac{x^{2}}{a^{2}}}} & \text{otherwise} \end{cases}\right)}{3} + \frac{x^{3} \operatorname{acos}{\left(\frac{a}{x} \right)}}{3}"," ",0,"-a*Piecewise((a**2*acosh(x/a)/2 + a*x*sqrt(-1 + x**2/a**2)/2, Abs(x**2/a**2) > 1), (-I*a**2*asin(x/a)/2 + I*a*x/(2*sqrt(1 - x**2/a**2)) - I*x**3/(2*a*sqrt(1 - x**2/a**2)), True))/3 + x**3*acos(a/x)/3","C",0
54,1,48,0,1.540221," ","integrate(x*acos(a/x),x)","- \frac{a \left(\begin{cases} a \sqrt{-1 + \frac{x^{2}}{a^{2}}} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\i a \sqrt{1 - \frac{x^{2}}{a^{2}}} & \text{otherwise} \end{cases}\right)}{2} + \frac{x^{2} \operatorname{acos}{\left(\frac{a}{x} \right)}}{2}"," ",0,"-a*Piecewise((a*sqrt(-1 + x**2/a**2), Abs(x**2/a**2) > 1), (I*a*sqrt(1 - x**2/a**2), True))/2 + x**2*acos(a/x)/2","A",0
55,1,27,0,1.714142," ","integrate(acos(a/x),x)","- a \left(\begin{cases} \operatorname{acosh}{\left(\frac{x}{a} \right)} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\- i \operatorname{asin}{\left(\frac{x}{a} \right)} & \text{otherwise} \end{cases}\right) + x \operatorname{acos}{\left(\frac{a}{x} \right)}"," ",0,"-a*Piecewise((acosh(x/a), Abs(x**2/a**2) > 1), (-I*asin(x/a), True)) + x*acos(a/x)","A",0
56,0,0,0,0.000000," ","integrate(acos(a/x)/x,x)","\int \frac{\operatorname{acos}{\left(\frac{a}{x} \right)}}{x}\, dx"," ",0,"Integral(acos(a/x)/x, x)","F",0
57,1,26,0,1.719855," ","integrate(acos(a/x)/x**2,x)","\begin{cases} - \frac{\operatorname{acos}{\left(\frac{a}{x} \right)}}{x} + \frac{\sqrt{- \frac{a^{2}}{x^{2}} + 1}}{a} & \text{for}\: a \neq 0 \\- \frac{\pi}{2 x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-acos(a/x)/x + sqrt(-a**2/x**2 + 1)/a, Ne(a, 0)), (-pi/(2*x), True))","A",0
58,1,100,0,3.100787," ","integrate(acos(a/x)/x**3,x)","\frac{a \left(\begin{cases} \frac{i \sqrt{\frac{a^{2}}{x^{2}} - 1}}{2 a^{2} x} + \frac{i \operatorname{acosh}{\left(\frac{a}{x} \right)}}{2 a^{3}} & \text{for}\: \left|{\frac{a^{2}}{x^{2}}}\right| > 1 \\- \frac{1}{2 x^{3} \sqrt{- \frac{a^{2}}{x^{2}} + 1}} + \frac{1}{2 a^{2} x \sqrt{- \frac{a^{2}}{x^{2}} + 1}} - \frac{\operatorname{asin}{\left(\frac{a}{x} \right)}}{2 a^{3}} & \text{otherwise} \end{cases}\right)}{2} - \frac{\operatorname{acos}{\left(\frac{a}{x} \right)}}{2 x^{2}}"," ",0,"a*Piecewise((I*sqrt(a**2/x**2 - 1)/(2*a**2*x) + I*acosh(a/x)/(2*a**3), Abs(a**2/x**2) > 1), (-1/(2*x**3*sqrt(-a**2/x**2 + 1)) + 1/(2*a**2*x*sqrt(-a**2/x**2 + 1)) - asin(a/x)/(2*a**3), True))/2 - acos(a/x)/(2*x**2)","C",0
59,1,100,0,3.028960," ","integrate(acos(a/x)/x**4,x)","\frac{a \left(\begin{cases} \frac{\sqrt{-1 + \frac{x^{2}}{a^{2}}}}{3 a x^{3}} + \frac{2 \sqrt{-1 + \frac{x^{2}}{a^{2}}}}{3 a^{3} x} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\\frac{i \sqrt{1 - \frac{x^{2}}{a^{2}}}}{3 a x^{3}} + \frac{2 i \sqrt{1 - \frac{x^{2}}{a^{2}}}}{3 a^{3} x} & \text{otherwise} \end{cases}\right)}{3} - \frac{\operatorname{acos}{\left(\frac{a}{x} \right)}}{3 x^{3}}"," ",0,"a*Piecewise((sqrt(-1 + x**2/a**2)/(3*a*x**3) + 2*sqrt(-1 + x**2/a**2)/(3*a**3*x), Abs(x**2/a**2) > 1), (I*sqrt(1 - x**2/a**2)/(3*a*x**3) + 2*I*sqrt(1 - x**2/a**2)/(3*a**3*x), True))/3 - acos(a/x)/(3*x**3)","A",0
60,1,73,0,8.091329," ","integrate(x**2*acos(x**(1/2)),x)","\frac{x^{3} \operatorname{acos}{\left(\sqrt{x} \right)}}{3} + \frac{\begin{cases} \frac{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}}{6} + \frac{3 \sqrt{x} \left(1 - 2 x\right) \sqrt{1 - x}}{16} - \frac{\sqrt{x} \sqrt{1 - x}}{2} + \frac{5 \operatorname{asin}{\left(\sqrt{x} \right)}}{16} & \text{for}\: x \geq 0 \wedge x < 1 \end{cases}}{3}"," ",0,"x**3*acos(sqrt(x))/3 + Piecewise((x**(3/2)*(1 - x)**(3/2)/6 + 3*sqrt(x)*(1 - 2*x)*sqrt(1 - x)/16 - sqrt(x)*sqrt(1 - x)/2 + 5*asin(sqrt(x))/16, (x >= 0) & (x < 1)))/3","A",0
61,1,58,0,3.862349," ","integrate(x*acos(x**(1/2)),x)","\frac{x^{2} \operatorname{acos}{\left(\sqrt{x} \right)}}{2} + \frac{\begin{cases} \frac{\sqrt{x} \left(1 - 2 x\right) \sqrt{1 - x}}{8} - \frac{\sqrt{x} \sqrt{1 - x}}{2} + \frac{3 \operatorname{asin}{\left(\sqrt{x} \right)}}{8} & \text{for}\: x \geq 0 \wedge x < 1 \end{cases}}{2}"," ",0,"x**2*acos(sqrt(x))/2 + Piecewise((sqrt(x)*(1 - 2*x)*sqrt(1 - x)/8 - sqrt(x)*sqrt(1 - x)/2 + 3*asin(sqrt(x))/8, (x >= 0) & (x < 1)))/2","A",0
62,1,29,0,0.257372," ","integrate(acos(x**(1/2)),x)","- \frac{\sqrt{x} \sqrt{1 - x}}{2} + x \operatorname{acos}{\left(\sqrt{x} \right)} - \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{2}"," ",0,"-sqrt(x)*sqrt(1 - x)/2 + x*acos(sqrt(x)) - acos(sqrt(x))/2","A",0
63,0,0,0,0.000000," ","integrate(acos(x**(1/2))/x,x)","\int \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{x}\, dx"," ",0,"Integral(acos(sqrt(x))/x, x)","F",0
64,1,44,0,3.107449," ","integrate(acos(x**(1/2))/x**2,x)","- \frac{\begin{cases} - \frac{2 i \sqrt{x - 1}}{\sqrt{x}} & \text{for}\: \left|{x}\right| > 1 \\- \frac{2 \sqrt{1 - x}}{\sqrt{x}} & \text{otherwise} \end{cases}}{2} - \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{x}"," ",0,"-Piecewise((-2*I*sqrt(x - 1)/sqrt(x), Abs(x) > 1), (-2*sqrt(1 - x)/sqrt(x), True))/2 - acos(sqrt(x))/x","C",0
65,1,44,0,7.247216," ","integrate(acos(x**(1/2))/x**3,x)","- \frac{\begin{cases} - \frac{\sqrt{1 - x}}{\sqrt{x}} - \frac{\left(1 - x\right)^{\frac{3}{2}}}{3 x^{\frac{3}{2}}} & \text{for}\: x \geq 0 \wedge x < 1 \end{cases}}{2} - \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{2 x^{2}}"," ",0,"-Piecewise((-sqrt(1 - x)/sqrt(x) - (1 - x)**(3/2)/(3*x**(3/2)), (x >= 0) & (x < 1)))/2 - acos(sqrt(x))/(2*x**2)","A",0
66,1,60,0,15.863877," ","integrate(acos(x**(1/2))/x**4,x)","- \frac{\begin{cases} - \frac{\sqrt{1 - x}}{\sqrt{x}} - \frac{2 \left(1 - x\right)^{\frac{3}{2}}}{3 x^{\frac{3}{2}}} - \frac{\left(1 - x\right)^{\frac{5}{2}}}{5 x^{\frac{5}{2}}} & \text{for}\: x \geq 0 \wedge x < 1 \end{cases}}{3} - \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{3 x^{3}}"," ",0,"-Piecewise((-sqrt(1 - x)/sqrt(x) - 2*(1 - x)**(3/2)/(3*x**(3/2)) - (1 - x)**(5/2)/(5*x**(5/2)), (x >= 0) & (x < 1)))/3 - acos(sqrt(x))/(3*x**3)","A",0
67,1,71,0,36.691962," ","integrate(acos(x**(1/2))/x**5,x)","- \frac{\begin{cases} - \frac{\sqrt{1 - x}}{\sqrt{x}} - \frac{\left(1 - x\right)^{\frac{3}{2}}}{x^{\frac{3}{2}}} - \frac{3 \left(1 - x\right)^{\frac{5}{2}}}{5 x^{\frac{5}{2}}} - \frac{\left(1 - x\right)^{\frac{7}{2}}}{7 x^{\frac{7}{2}}} & \text{for}\: x \geq 0 \wedge x < 1 \end{cases}}{4} - \frac{\operatorname{acos}{\left(\sqrt{x} \right)}}{4 x^{4}}"," ",0,"-Piecewise((-sqrt(1 - x)/sqrt(x) - (1 - x)**(3/2)/x**(3/2) - 3*(1 - x)**(5/2)/(5*x**(5/2)) - (1 - x)**(7/2)/(7*x**(7/2)), (x >= 0) & (x < 1)))/4 - acos(sqrt(x))/(4*x**4)","A",0
68,1,20,0,0.277751," ","integrate(acos(x**(1/2))/x**(1/2),x)","2 \sqrt{x} \operatorname{acos}{\left(\sqrt{x} \right)} - 2 \sqrt{1 - x}"," ",0,"2*sqrt(x)*acos(sqrt(x)) - 2*sqrt(1 - x)","A",0
69,0,0,0,0.000000," ","integrate(acos(a*x**n)/x,x)","\int \frac{\operatorname{acos}{\left(a x^{n} \right)}}{x}\, dx"," ",0,"Integral(acos(a*x**n)/x, x)","F",0
70,0,0,0,0.000000," ","integrate(acos(a*x**5)/x,x)","\int \frac{\operatorname{acos}{\left(a x^{5} \right)}}{x}\, dx"," ",0,"Integral(acos(a*x**5)/x, x)","F",0
71,1,61,0,0.754777," ","integrate(x**3*acos(b*x**4+a),x)","\begin{cases} \frac{a \operatorname{acos}{\left(a + b x^{4} \right)}}{4 b} + \frac{x^{4} \operatorname{acos}{\left(a + b x^{4} \right)}}{4} - \frac{\sqrt{- a^{2} - 2 a b x^{4} - b^{2} x^{8} + 1}}{4 b} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{acos}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*acos(a + b*x**4)/(4*b) + x**4*acos(a + b*x**4)/4 - sqrt(-a**2 - 2*a*b*x**4 - b**2*x**8 + 1)/(4*b), Ne(b, 0)), (x**4*acos(a)/4, True))","A",0
72,1,76,0,54.921698," ","integrate(x**(-1+n)*acos(a+b*x**n),x)","\begin{cases} \log{\left(x \right)} \operatorname{acos}{\left(a \right)} & \text{for}\: b = 0 \wedge n = 0 \\\log{\left(x \right)} \operatorname{acos}{\left(a + b \right)} & \text{for}\: n = 0 \\\frac{x^{n} \operatorname{acos}{\left(a \right)}}{n} & \text{for}\: b = 0 \\\frac{a \operatorname{acos}{\left(a + b x^{n} \right)}}{b n} + \frac{x^{n} \operatorname{acos}{\left(a + b x^{n} \right)}}{n} - \frac{\sqrt{- a^{2} - 2 a b x^{n} - b^{2} x^{2 n} + 1}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*acos(a), Eq(b, 0) & Eq(n, 0)), (log(x)*acos(a + b), Eq(n, 0)), (x**n*acos(a)/n, Eq(b, 0)), (a*acos(a + b*x**n)/(b*n) + x**n*acos(a + b*x**n)/n - sqrt(-a**2 - 2*a*b*x**n - b**2*x**(2*n) + 1)/(b*n), True))","A",0
73,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**4,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{4}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**4, x)","F",0
74,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**3,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**3, x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**2,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**2, x)","F",0
76,0,0,0,0.000000," ","integrate(a+b*acos(d*x**2+1),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)\, dx"," ",0,"Integral(a + b*acos(d*x**2 + 1), x)","F",0
77,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1)),x)","\int \frac{1}{a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}}\, dx"," ",0,"Integral(1/(a + b*acos(d*x**2 + 1)), x)","F",0
78,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**2,x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(-2), x)","F",0
79,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**3,x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(-3), x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**4,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{4}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**4, x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**3,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**3, x)","F",0
82,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**2,x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**2, x)","F",0
83,0,0,0,0.000000," ","integrate(a+b*acos(d*x**2-1),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)\, dx"," ",0,"Integral(a + b*acos(d*x**2 - 1), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1)),x)","\int \frac{1}{a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}}\, dx"," ",0,"Integral(1/(a + b*acos(d*x**2 - 1)), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**2,x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(-2), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**3,x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{3}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(-3), x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**(5/2),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**(3/2),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(3/2), x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2+1))**(1/2),x)","\int \sqrt{a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}}\, dx"," ",0,"Integral(sqrt(a + b*acos(d*x**2 + 1)), x)","F",0
90,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*acos(d*x**2 + 1)), x)","F",0
91,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(-3/2), x)","F",0
92,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**(5/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(-5/2), x)","F",0
93,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2+1))**(7/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} + 1 \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 + 1))**(-7/2), x)","F",0
94,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**(5/2),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(5/2), x)","F",0
95,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**(3/2),x)","\int \left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(3/2), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*acos(d*x**2-1))**(1/2),x)","\int \sqrt{a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}}\, dx"," ",0,"Integral(sqrt(a + b*acos(d*x**2 - 1)), x)","F",0
97,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**(1/2),x)","\int \frac{1}{\sqrt{a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}}}\, dx"," ",0,"Integral(1/sqrt(a + b*acos(d*x**2 - 1)), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**(3/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(-3/2), x)","F",0
99,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**(5/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(-5/2), x)","F",0
100,0,0,0,0.000000," ","integrate(1/(a+b*acos(d*x**2-1))**(7/2),x)","\int \frac{1}{\left(a + b \operatorname{acos}{\left(d x^{2} - 1 \right)}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((a + b*acos(d*x**2 - 1))**(-7/2), x)","F",0
101,-1,0,0,0.000000," ","integrate((a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**n/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate((a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**3/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,-1,0,0,0.000000," ","integrate((a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate((a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2)))/(-c**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-1,0,0,0.000000," ","integrate(1/(-c**2*x**2+1)/(a+b*acos((-c*x+1)**(1/2)/(c*x+1)**(1/2)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,0,0,0,0.000000," ","integrate(acos(c*exp(b*x+a)),x)","\int \operatorname{acos}{\left(c e^{a + b x} \right)}\, dx"," ",0,"Integral(acos(c*exp(a + b*x)), x)","F",0
108,1,105,0,2.931068," ","integrate(exp(acos(a*x))*x**3,x)","\begin{cases} \frac{4 x^{4} e^{\operatorname{acos}{\left(a x \right)}}}{17} - \frac{x^{3} \sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{17 a} - \frac{3 x^{2} e^{\operatorname{acos}{\left(a x \right)}}}{85 a^{2}} - \frac{6 x \sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{85 a^{3}} - \frac{6 e^{\operatorname{acos}{\left(a x \right)}}}{85 a^{4}} & \text{for}\: a \neq 0 \\\frac{x^{4} e^{\frac{\pi}{2}}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*x**4*exp(acos(a*x))/17 - x**3*sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(17*a) - 3*x**2*exp(acos(a*x))/(85*a**2) - 6*x*sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(85*a**3) - 6*exp(acos(a*x))/(85*a**4), Ne(a, 0)), (x**4*exp(pi/2)/4, True))","A",0
109,1,85,0,1.190236," ","integrate(exp(acos(a*x))*x**2,x)","\begin{cases} \frac{3 x^{3} e^{\operatorname{acos}{\left(a x \right)}}}{10} - \frac{x^{2} \sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{10 a} - \frac{x e^{\operatorname{acos}{\left(a x \right)}}}{10 a^{2}} - \frac{\sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{10 a^{3}} & \text{for}\: a \neq 0 \\\frac{x^{3} e^{\frac{\pi}{2}}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**3*exp(acos(a*x))/10 - x**2*sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(10*a) - x*exp(acos(a*x))/(10*a**2) - sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(10*a**3), Ne(a, 0)), (x**3*exp(pi/2)/3, True))","A",0
110,1,58,0,0.392960," ","integrate(exp(acos(a*x))*x,x)","\begin{cases} \frac{2 x^{2} e^{\operatorname{acos}{\left(a x \right)}}}{5} - \frac{x \sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{5 a} - \frac{e^{\operatorname{acos}{\left(a x \right)}}}{5 a^{2}} & \text{for}\: a \neq 0 \\\frac{x^{2} e^{\frac{\pi}{2}}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**2*exp(acos(a*x))/5 - x*sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(5*a) - exp(acos(a*x))/(5*a**2), Ne(a, 0)), (x**2*exp(pi/2)/2, True))","A",0
111,1,37,0,0.165956," ","integrate(exp(acos(a*x)),x)","\begin{cases} \frac{x e^{\operatorname{acos}{\left(a x \right)}}}{2} - \frac{\sqrt{- a^{2} x^{2} + 1} e^{\operatorname{acos}{\left(a x \right)}}}{2 a} & \text{for}\: a \neq 0 \\x e^{\frac{\pi}{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(acos(a*x))/2 - sqrt(-a**2*x**2 + 1)*exp(acos(a*x))/(2*a), Ne(a, 0)), (x*exp(pi/2), True))","A",0
112,0,0,0,0.000000," ","integrate(exp(acos(a*x))/x,x)","\int \frac{e^{\operatorname{acos}{\left(a x \right)}}}{x}\, dx"," ",0,"Integral(exp(acos(a*x))/x, x)","F",0
113,0,0,0,0.000000," ","integrate(exp(acos(a*x))/x**2,x)","\int \frac{e^{\operatorname{acos}{\left(a x \right)}}}{x^{2}}\, dx"," ",0,"Integral(exp(acos(a*x))/x**2, x)","F",0
114,0,0,0,0.000000," ","integrate(acos(c/(b*x+a)),x)","\int \operatorname{acos}{\left(\frac{c}{a + b x} \right)}\, dx"," ",0,"Integral(acos(c/(a + b*x)), x)","F",0
115,0,0,0,0.000000," ","integrate(x/(-x**2+1)**(1/2)/acos(x)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \sqrt{\operatorname{acos}{\left(x \right)}}}\, dx"," ",0,"Integral(x/(sqrt(-(x - 1)*(x + 1))*sqrt(acos(x))), x)","F",0
116,0,0,0,0.000000," ","integrate(x/acos(x)/(-x**2+1)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \operatorname{acos}{\left(x \right)}}\, dx"," ",0,"Integral(x/(sqrt(-(x - 1)*(x + 1))*acos(x)), x)","F",0
117,0,0,0,0.000000," ","integrate(acos((b*x**2+1)**(1/2))**n/(b*x**2+1)**(1/2),x)","\begin{cases} \tilde{\infty} x & \text{for}\: b = 0 \wedge n = -1 \\0^{n} x & \text{for}\: b = 0 \\\int \frac{1}{\sqrt{b x^{2} + 1} \operatorname{acos}{\left(\sqrt{b x^{2} + 1} \right)}}\, dx & \text{for}\: n = -1 \\- \frac{i \sqrt{b} \sqrt{x^{2}} \operatorname{acos}{\left(\sqrt{b x^{2} + 1} \right)} \operatorname{acos}^{n}{\left(\sqrt{b x^{2} + 1} \right)}}{b n x + b x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x, Eq(b, 0) & Eq(n, -1)), (0**n*x, Eq(b, 0)), (Integral(1/(sqrt(b*x**2 + 1)*acos(sqrt(b*x**2 + 1))), x), Eq(n, -1)), (-I*sqrt(b)*sqrt(x**2)*acos(sqrt(b*x**2 + 1))*acos(sqrt(b*x**2 + 1))**n/(b*n*x + b*x), True))","F",0
118,0,0,0,0.000000," ","integrate(1/acos((b*x**2+1)**(1/2))/(b*x**2+1)**(1/2),x)","\int \frac{1}{\sqrt{b x^{2} + 1} \operatorname{acos}{\left(\sqrt{b x^{2} + 1} \right)}}\, dx"," ",0,"Integral(1/(sqrt(b*x**2 + 1)*acos(sqrt(b*x**2 + 1))), x)","F",0
