1,0,0,0,0.000000," ","integrate(x**3*(a+b*acos(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{3}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{3} \operatorname{acos}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**3/(c**2*x**2 - 1), x) + Integral(b*x**3*acos(c*x)/(c**2*x**2 - 1), x))/d","F",0
2,0,0,0,0.000000," ","integrate(x**2*(a+b*acos(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x^{2}}{c^{2} x^{2} - 1}\, dx + \int \frac{b x^{2} \operatorname{acos}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x**2/(c**2*x**2 - 1), x) + Integral(b*x**2*acos(c*x)/(c**2*x**2 - 1), x))/d","F",0
3,0,0,0,0.000000," ","integrate(x*(a+b*acos(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a x}{c^{2} x^{2} - 1}\, dx + \int \frac{b x \operatorname{acos}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a*x/(c**2*x**2 - 1), x) + Integral(b*x*acos(c*x)/(c**2*x**2 - 1), x))/d","F",0
4,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{2} - 1}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{2} x^{2} - 1}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**2 - 1), x) + Integral(b*acos(c*x)/(c**2*x**2 - 1), x))/d","F",0
5,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/x/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{3} - x}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{2} x^{3} - x}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**3 - x), x) + Integral(b*acos(c*x)/(c**2*x**3 - x), x))/d","F",0
6,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/x**2/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{4} - x^{2}}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{2} x^{4} - x^{2}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**4 - x**2), x) + Integral(b*acos(c*x)/(c**2*x**4 - x**2), x))/d","F",0
7,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/x**3/(-c**2*d*x**2+d),x)","- \frac{\int \frac{a}{c^{2} x^{5} - x^{3}}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{2} x^{5} - x^{3}}\, dx}{d}"," ",0,"-(Integral(a/(c**2*x**5 - x**3), x) + Integral(b*acos(c*x)/(c**2*x**5 - x**3), x))/d","F",0
8,0,0,0,0.000000," ","integrate(x**4*(a+b*acos(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{4}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{4} \operatorname{acos}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**4/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**4*acos(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
9,0,0,0,0.000000," ","integrate(x**3*(a+b*acos(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{3}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{3} \operatorname{acos}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**3/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**3*acos(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
10,0,0,0,0.000000," ","integrate(x**2*(a+b*acos(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x^{2}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x^{2} \operatorname{acos}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x**2/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x**2*acos(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
11,0,0,0,0.000000," ","integrate(x*(a+b*acos(c*x))/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a x}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx + \int \frac{b x \operatorname{acos}{\left(c x \right)}}{c^{4} x^{4} - 2 c^{2} x^{2} + 1}\, dx}{d^{2}}"," ",0,"(Integral(a*x/(c**4*x**4 - 2*c**2*x**2 + 1), x) + Integral(b*x*acos(c*x)/(c**4*x**4 - 2*c**2*x**2 + 1), x))/d**2","F",0
12,-1,0,0,0.000000," ","integrate((a+b*acos(c*x))/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,-1,0,0,0.000000," ","integrate((a+b*acos(c*x))/x/(-c**2*d*x**2+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/x**2/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{4} x^{6} - 2 c^{2} x^{4} + x^{2}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**6 - 2*c**2*x**4 + x**2), x) + Integral(b*acos(c*x)/(c**4*x**6 - 2*c**2*x**4 + x**2), x))/d**2","F",0
15,0,0,0,0.000000," ","integrate((a+b*acos(c*x))/x**3/(-c**2*d*x**2+d)**2,x)","\frac{\int \frac{a}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx + \int \frac{b \operatorname{acos}{\left(c x \right)}}{c^{4} x^{7} - 2 c^{2} x^{5} + x^{3}}\, dx}{d^{2}}"," ",0,"(Integral(a/(c**4*x**7 - 2*c**2*x**5 + x**3), x) + Integral(b*acos(c*x)/(c**4*x**7 - 2*c**2*x**5 + x**3), x))/d**2","F",0
16,1,211,0,3.530838," ","integrate(x**3*(e*x**2+d)*(a+b*acos(c*x)),x)","\begin{cases} \frac{a d x^{4}}{4} + \frac{a e x^{6}}{6} + \frac{b d x^{4} \operatorname{acos}{\left(c x \right)}}{4} + \frac{b e x^{6} \operatorname{acos}{\left(c x \right)}}{6} - \frac{b d x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} - \frac{b e x^{5} \sqrt{- c^{2} x^{2} + 1}}{36 c} - \frac{3 b d x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} - \frac{5 b e x^{3} \sqrt{- c^{2} x^{2} + 1}}{144 c^{3}} - \frac{3 b d \operatorname{acos}{\left(c x \right)}}{32 c^{4}} - \frac{5 b e x \sqrt{- c^{2} x^{2} + 1}}{96 c^{5}} - \frac{5 b e \operatorname{acos}{\left(c x \right)}}{96 c^{6}} & \text{for}\: c \neq 0 \\\left(a + \frac{\pi b}{2}\right) \left(\frac{d x^{4}}{4} + \frac{e x^{6}}{6}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**4/4 + a*e*x**6/6 + b*d*x**4*acos(c*x)/4 + b*e*x**6*acos(c*x)/6 - b*d*x**3*sqrt(-c**2*x**2 + 1)/(16*c) - b*e*x**5*sqrt(-c**2*x**2 + 1)/(36*c) - 3*b*d*x*sqrt(-c**2*x**2 + 1)/(32*c**3) - 5*b*e*x**3*sqrt(-c**2*x**2 + 1)/(144*c**3) - 3*b*d*acos(c*x)/(32*c**4) - 5*b*e*x*sqrt(-c**2*x**2 + 1)/(96*c**5) - 5*b*e*acos(c*x)/(96*c**6), Ne(c, 0)), ((a + pi*b/2)*(d*x**4/4 + e*x**6/6), True))","A",0
17,1,177,0,1.977610," ","integrate(x**2*(e*x**2+d)*(a+b*acos(c*x)),x)","\begin{cases} \frac{a d x^{3}}{3} + \frac{a e x^{5}}{5} + \frac{b d x^{3} \operatorname{acos}{\left(c x \right)}}{3} + \frac{b e x^{5} \operatorname{acos}{\left(c x \right)}}{5} - \frac{b d x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} - \frac{b e x^{4} \sqrt{- c^{2} x^{2} + 1}}{25 c} - \frac{2 b d \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} - \frac{4 b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{75 c^{3}} - \frac{8 b e \sqrt{- c^{2} x^{2} + 1}}{75 c^{5}} & \text{for}\: c \neq 0 \\\left(a + \frac{\pi b}{2}\right) \left(\frac{d x^{3}}{3} + \frac{e x^{5}}{5}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**3/3 + a*e*x**5/5 + b*d*x**3*acos(c*x)/3 + b*e*x**5*acos(c*x)/5 - b*d*x**2*sqrt(-c**2*x**2 + 1)/(9*c) - b*e*x**4*sqrt(-c**2*x**2 + 1)/(25*c) - 2*b*d*sqrt(-c**2*x**2 + 1)/(9*c**3) - 4*b*e*x**2*sqrt(-c**2*x**2 + 1)/(75*c**3) - 8*b*e*sqrt(-c**2*x**2 + 1)/(75*c**5), Ne(c, 0)), ((a + pi*b/2)*(d*x**3/3 + e*x**5/5), True))","A",0
18,1,158,0,1.117256," ","integrate(x*(e*x**2+d)*(a+b*acos(c*x)),x)","\begin{cases} \frac{a d x^{2}}{2} + \frac{a e x^{4}}{4} + \frac{b d x^{2} \operatorname{acos}{\left(c x \right)}}{2} + \frac{b e x^{4} \operatorname{acos}{\left(c x \right)}}{4} - \frac{b d x \sqrt{- c^{2} x^{2} + 1}}{4 c} - \frac{b e x^{3} \sqrt{- c^{2} x^{2} + 1}}{16 c} - \frac{b d \operatorname{acos}{\left(c x \right)}}{4 c^{2}} - \frac{3 b e x \sqrt{- c^{2} x^{2} + 1}}{32 c^{3}} - \frac{3 b e \operatorname{acos}{\left(c x \right)}}{32 c^{4}} & \text{for}\: c \neq 0 \\\left(a + \frac{\pi b}{2}\right) \left(\frac{d x^{2}}{2} + \frac{e x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x**2/2 + a*e*x**4/4 + b*d*x**2*acos(c*x)/2 + b*e*x**4*acos(c*x)/4 - b*d*x*sqrt(-c**2*x**2 + 1)/(4*c) - b*e*x**3*sqrt(-c**2*x**2 + 1)/(16*c) - b*d*acos(c*x)/(4*c**2) - 3*b*e*x*sqrt(-c**2*x**2 + 1)/(32*c**3) - 3*b*e*acos(c*x)/(32*c**4), Ne(c, 0)), ((a + pi*b/2)*(d*x**2/2 + e*x**4/4), True))","A",0
19,1,114,0,0.515818," ","integrate((e*x**2+d)*(a+b*acos(c*x)),x)","\begin{cases} a d x + \frac{a e x^{3}}{3} + b d x \operatorname{acos}{\left(c x \right)} + \frac{b e x^{3} \operatorname{acos}{\left(c x \right)}}{3} - \frac{b d \sqrt{- c^{2} x^{2} + 1}}{c} - \frac{b e x^{2} \sqrt{- c^{2} x^{2} + 1}}{9 c} - \frac{2 b e \sqrt{- c^{2} x^{2} + 1}}{9 c^{3}} & \text{for}\: c \neq 0 \\\left(a + \frac{\pi b}{2}\right) \left(d x + \frac{e x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*d*x + a*e*x**3/3 + b*d*x*acos(c*x) + b*e*x**3*acos(c*x)/3 - b*d*sqrt(-c**2*x**2 + 1)/c - b*e*x**2*sqrt(-c**2*x**2 + 1)/(9*c) - 2*b*e*sqrt(-c**2*x**2 + 1)/(9*c**3), Ne(c, 0)), ((a + pi*b/2)*(d*x + e*x**3/3), True))","A",0
20,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acos(c*x))/x,x)","\int \frac{\left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x}\, dx"," ",0,"Integral((a + b*acos(c*x))*(d + e*x**2)/x, x)","F",0
21,1,78,0,3.854022," ","integrate((e*x**2+d)*(a+b*acos(c*x))/x**2,x)","- \frac{a d}{x} + a e x - b c d \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d \operatorname{acos}{\left(c x \right)}}{x} + b e \left(\begin{cases} \frac{\pi x}{2} & \text{for}\: c = 0 \\x \operatorname{acos}{\left(c x \right)} - \frac{\sqrt{- c^{2} x^{2} + 1}}{c} & \text{otherwise} \end{cases}\right)"," ",0,"-a*d/x + a*e*x - b*c*d*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d*acos(c*x)/x + b*e*Piecewise((pi*x/2, Eq(c, 0)), (x*acos(c*x) - sqrt(-c**2*x**2 + 1)/c, True))","A",0
22,0,0,0,0.000000," ","integrate((e*x**2+d)*(a+b*acos(c*x))/x**3,x)","\int \frac{\left(a + b \operatorname{acos}{\left(c x \right)}\right) \left(d + e x^{2}\right)}{x^{3}}\, dx"," ",0,"Integral((a + b*acos(c*x))*(d + e*x**2)/x**3, x)","F",0
23,1,172,0,4.645331," ","integrate((e*x**2+d)*(a+b*acos(c*x))/x**4,x)","- \frac{a d}{3 x^{3}} - \frac{a e}{x} - \frac{b c d \left(\begin{cases} - \frac{c^{2} \operatorname{acosh}{\left(\frac{1}{c x} \right)}}{2} - \frac{c \sqrt{-1 + \frac{1}{c^{2} x^{2}}}}{2 x} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\\frac{i c^{2} \operatorname{asin}{\left(\frac{1}{c x} \right)}}{2} - \frac{i c}{2 x \sqrt{1 - \frac{1}{c^{2} x^{2}}}} + \frac{i}{2 c x^{3} \sqrt{1 - \frac{1}{c^{2} x^{2}}}} & \text{otherwise} \end{cases}\right)}{3} - b c e \left(\begin{cases} - \operatorname{acosh}{\left(\frac{1}{c x} \right)} & \text{for}\: \frac{1}{\left|{c^{2} x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{c x} \right)} & \text{otherwise} \end{cases}\right) - \frac{b d \operatorname{acos}{\left(c x \right)}}{3 x^{3}} - \frac{b e \operatorname{acos}{\left(c x \right)}}{x}"," ",0,"-a*d/(3*x**3) - a*e/x - b*c*d*Piecewise((-c**2*acosh(1/(c*x))/2 - c*sqrt(-1 + 1/(c**2*x**2))/(2*x), 1/Abs(c**2*x**2) > 1), (I*c**2*asin(1/(c*x))/2 - I*c/(2*x*sqrt(1 - 1/(c**2*x**2))) + I/(2*c*x**3*sqrt(1 - 1/(c**2*x**2))), True))/3 - b*c*e*Piecewise((-acosh(1/(c*x)), 1/Abs(c**2*x**2) > 1), (I*asin(1/(c*x)), True)) - b*d*acos(c*x)/(3*x**3) - b*e*acos(c*x)/x","A",0
24,1,197,0,1.993675," ","integrate((d*x**2+c)**2*acos(a*x),x)","\begin{cases} c^{2} x \operatorname{acos}{\left(a x \right)} + \frac{2 c d x^{3} \operatorname{acos}{\left(a x \right)}}{3} + \frac{d^{2} x^{5} \operatorname{acos}{\left(a x \right)}}{5} - \frac{c^{2} \sqrt{- a^{2} x^{2} + 1}}{a} - \frac{2 c d x^{2} \sqrt{- a^{2} x^{2} + 1}}{9 a} - \frac{d^{2} x^{4} \sqrt{- a^{2} x^{2} + 1}}{25 a} - \frac{4 c d \sqrt{- a^{2} x^{2} + 1}}{9 a^{3}} - \frac{4 d^{2} x^{2} \sqrt{- a^{2} x^{2} + 1}}{75 a^{3}} - \frac{8 d^{2} \sqrt{- a^{2} x^{2} + 1}}{75 a^{5}} & \text{for}\: a \neq 0 \\\frac{\pi \left(c^{2} x + \frac{2 c d x^{3}}{3} + \frac{d^{2} x^{5}}{5}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**2*x*acos(a*x) + 2*c*d*x**3*acos(a*x)/3 + d**2*x**5*acos(a*x)/5 - c**2*sqrt(-a**2*x**2 + 1)/a - 2*c*d*x**2*sqrt(-a**2*x**2 + 1)/(9*a) - d**2*x**4*sqrt(-a**2*x**2 + 1)/(25*a) - 4*c*d*sqrt(-a**2*x**2 + 1)/(9*a**3) - 4*d**2*x**2*sqrt(-a**2*x**2 + 1)/(75*a**3) - 8*d**2*sqrt(-a**2*x**2 + 1)/(75*a**5), Ne(a, 0)), (pi*(c**2*x + 2*c*d*x**3/3 + d**2*x**5/5)/2, True))","A",0
25,1,326,0,5.735074," ","integrate((d*x**2+c)**3*acos(a*x),x)","\begin{cases} c^{3} x \operatorname{acos}{\left(a x \right)} + c^{2} d x^{3} \operatorname{acos}{\left(a x \right)} + \frac{3 c d^{2} x^{5} \operatorname{acos}{\left(a x \right)}}{5} + \frac{d^{3} x^{7} \operatorname{acos}{\left(a x \right)}}{7} - \frac{c^{3} \sqrt{- a^{2} x^{2} + 1}}{a} - \frac{c^{2} d x^{2} \sqrt{- a^{2} x^{2} + 1}}{3 a} - \frac{3 c d^{2} x^{4} \sqrt{- a^{2} x^{2} + 1}}{25 a} - \frac{d^{3} x^{6} \sqrt{- a^{2} x^{2} + 1}}{49 a} - \frac{2 c^{2} d \sqrt{- a^{2} x^{2} + 1}}{3 a^{3}} - \frac{4 c d^{2} x^{2} \sqrt{- a^{2} x^{2} + 1}}{25 a^{3}} - \frac{6 d^{3} x^{4} \sqrt{- a^{2} x^{2} + 1}}{245 a^{3}} - \frac{8 c d^{2} \sqrt{- a^{2} x^{2} + 1}}{25 a^{5}} - \frac{8 d^{3} x^{2} \sqrt{- a^{2} x^{2} + 1}}{245 a^{5}} - \frac{16 d^{3} \sqrt{- a^{2} x^{2} + 1}}{245 a^{7}} & \text{for}\: a \neq 0 \\\frac{\pi \left(c^{3} x + c^{2} d x^{3} + \frac{3 c d^{2} x^{5}}{5} + \frac{d^{3} x^{7}}{7}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**3*x*acos(a*x) + c**2*d*x**3*acos(a*x) + 3*c*d**2*x**5*acos(a*x)/5 + d**3*x**7*acos(a*x)/7 - c**3*sqrt(-a**2*x**2 + 1)/a - c**2*d*x**2*sqrt(-a**2*x**2 + 1)/(3*a) - 3*c*d**2*x**4*sqrt(-a**2*x**2 + 1)/(25*a) - d**3*x**6*sqrt(-a**2*x**2 + 1)/(49*a) - 2*c**2*d*sqrt(-a**2*x**2 + 1)/(3*a**3) - 4*c*d**2*x**2*sqrt(-a**2*x**2 + 1)/(25*a**3) - 6*d**3*x**4*sqrt(-a**2*x**2 + 1)/(245*a**3) - 8*c*d**2*sqrt(-a**2*x**2 + 1)/(25*a**5) - 8*d**3*x**2*sqrt(-a**2*x**2 + 1)/(245*a**5) - 16*d**3*sqrt(-a**2*x**2 + 1)/(245*a**7), Ne(a, 0)), (pi*(c**3*x + c**2*d*x**3 + 3*c*d**2*x**5/5 + d**3*x**7/7)/2, True))","A",0
26,1,502,0,15.868785," ","integrate((d*x**2+c)**4*acos(a*x),x)","\begin{cases} c^{4} x \operatorname{acos}{\left(a x \right)} + \frac{4 c^{3} d x^{3} \operatorname{acos}{\left(a x \right)}}{3} + \frac{6 c^{2} d^{2} x^{5} \operatorname{acos}{\left(a x \right)}}{5} + \frac{4 c d^{3} x^{7} \operatorname{acos}{\left(a x \right)}}{7} + \frac{d^{4} x^{9} \operatorname{acos}{\left(a x \right)}}{9} - \frac{c^{4} \sqrt{- a^{2} x^{2} + 1}}{a} - \frac{4 c^{3} d x^{2} \sqrt{- a^{2} x^{2} + 1}}{9 a} - \frac{6 c^{2} d^{2} x^{4} \sqrt{- a^{2} x^{2} + 1}}{25 a} - \frac{4 c d^{3} x^{6} \sqrt{- a^{2} x^{2} + 1}}{49 a} - \frac{d^{4} x^{8} \sqrt{- a^{2} x^{2} + 1}}{81 a} - \frac{8 c^{3} d \sqrt{- a^{2} x^{2} + 1}}{9 a^{3}} - \frac{8 c^{2} d^{2} x^{2} \sqrt{- a^{2} x^{2} + 1}}{25 a^{3}} - \frac{24 c d^{3} x^{4} \sqrt{- a^{2} x^{2} + 1}}{245 a^{3}} - \frac{8 d^{4} x^{6} \sqrt{- a^{2} x^{2} + 1}}{567 a^{3}} - \frac{16 c^{2} d^{2} \sqrt{- a^{2} x^{2} + 1}}{25 a^{5}} - \frac{32 c d^{3} x^{2} \sqrt{- a^{2} x^{2} + 1}}{245 a^{5}} - \frac{16 d^{4} x^{4} \sqrt{- a^{2} x^{2} + 1}}{945 a^{5}} - \frac{64 c d^{3} \sqrt{- a^{2} x^{2} + 1}}{245 a^{7}} - \frac{64 d^{4} x^{2} \sqrt{- a^{2} x^{2} + 1}}{2835 a^{7}} - \frac{128 d^{4} \sqrt{- a^{2} x^{2} + 1}}{2835 a^{9}} & \text{for}\: a \neq 0 \\\frac{\pi \left(c^{4} x + \frac{4 c^{3} d x^{3}}{3} + \frac{6 c^{2} d^{2} x^{5}}{5} + \frac{4 c d^{3} x^{7}}{7} + \frac{d^{4} x^{9}}{9}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**4*x*acos(a*x) + 4*c**3*d*x**3*acos(a*x)/3 + 6*c**2*d**2*x**5*acos(a*x)/5 + 4*c*d**3*x**7*acos(a*x)/7 + d**4*x**9*acos(a*x)/9 - c**4*sqrt(-a**2*x**2 + 1)/a - 4*c**3*d*x**2*sqrt(-a**2*x**2 + 1)/(9*a) - 6*c**2*d**2*x**4*sqrt(-a**2*x**2 + 1)/(25*a) - 4*c*d**3*x**6*sqrt(-a**2*x**2 + 1)/(49*a) - d**4*x**8*sqrt(-a**2*x**2 + 1)/(81*a) - 8*c**3*d*sqrt(-a**2*x**2 + 1)/(9*a**3) - 8*c**2*d**2*x**2*sqrt(-a**2*x**2 + 1)/(25*a**3) - 24*c*d**3*x**4*sqrt(-a**2*x**2 + 1)/(245*a**3) - 8*d**4*x**6*sqrt(-a**2*x**2 + 1)/(567*a**3) - 16*c**2*d**2*sqrt(-a**2*x**2 + 1)/(25*a**5) - 32*c*d**3*x**2*sqrt(-a**2*x**2 + 1)/(245*a**5) - 16*d**4*x**4*sqrt(-a**2*x**2 + 1)/(945*a**5) - 64*c*d**3*sqrt(-a**2*x**2 + 1)/(245*a**7) - 64*d**4*x**2*sqrt(-a**2*x**2 + 1)/(2835*a**7) - 128*d**4*sqrt(-a**2*x**2 + 1)/(2835*a**9), Ne(a, 0)), (pi*(c**4*x + 4*c**3*d*x**3/3 + 6*c**2*d**2*x**5/5 + 4*c*d**3*x**7/7 + d**4*x**9/9)/2, True))","A",0
27,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c),x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{c + d x^{2}}\, dx"," ",0,"Integral(acos(a*x)/(c + d*x**2), x)","F",0
28,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c)**2,x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{\left(c + d x^{2}\right)^{2}}\, dx"," ",0,"Integral(acos(a*x)/(c + d*x**2)**2, x)","F",0
29,0,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*acos(a*x),x)","\int \sqrt{c + d x^{2}} \operatorname{acos}{\left(a x \right)}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*acos(a*x), x)","F",0
30,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c)**(1/2),x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{\sqrt{c + d x^{2}}}\, dx"," ",0,"Integral(acos(a*x)/sqrt(c + d*x**2), x)","F",0
31,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c)**(3/2),x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(acos(a*x)/(c + d*x**2)**(3/2), x)","F",0
32,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c)**(5/2),x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral(acos(a*x)/(c + d*x**2)**(5/2), x)","F",0
33,0,0,0,0.000000," ","integrate(acos(a*x)/(d*x**2+c)**(7/2),x)","\int \frac{\operatorname{acos}{\left(a x \right)}}{\left(c + d x^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral(acos(a*x)/(c + d*x**2)**(7/2), x)","F",0
