Optimal. Leaf size=366 \[ -\frac {a x}{b^3}+\frac {(a+b x)^2}{12 b^4}+\frac {(a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{3 b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {2 a \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {\log (a+b x)}{3 b^4}+\frac {3 a^2 \log (a+b x)}{b^4}+\frac {i a \text {PolyLog}\left (2,-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {2 i a^3 \text {PolyLog}\left (2,-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {i a \text {PolyLog}\left (2,e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {2 i a^3 \text {PolyLog}\left (2,e^{i \csc ^{-1}(a+b x)}\right )}{b^4} \]
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Rubi [A]
time = 0.20, antiderivative size = 366, normalized size of antiderivative = 1.00, number of steps
used = 20, number of rules used = 9, integrand size = 12, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.750, Rules used = {5367, 4512,
4275, 4268, 2317, 2438, 4269, 3556, 4270} \begin {gather*} -\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {2 i a^3 \text {Li}_2\left (-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {2 i a^3 \text {Li}_2\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {3 a^2 \log (a+b x)}{b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {i a \text {Li}_2\left (-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {i a \text {Li}_2\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {(a+b x)^2}{12 b^4}+\frac {\log (a+b x)}{3 b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}+\frac {(a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{3 b^4}-\frac {2 a \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {a x}{b^3}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2 \end {gather*}
Antiderivative was successfully verified.
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Rule 2317
Rule 2438
Rule 3556
Rule 4268
Rule 4269
Rule 4270
Rule 4275
Rule 4512
Rule 5367
Rubi steps
\begin {align*} \int x^3 \csc ^{-1}(a+b x)^2 \, dx &=-\frac {\text {Subst}\left (\int x^2 \cot (x) \csc (x) (-a+\csc (x))^3 \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}\\ &=\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {\text {Subst}\left (\int x (-a+\csc (x))^4 \, dx,x,\csc ^{-1}(a+b x)\right )}{2 b^4}\\ &=\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {\text {Subst}\left (\int \left (a^4 x-4 a^3 x \csc (x)+6 a^2 x \csc ^2(x)-4 a x \csc ^3(x)+x \csc ^4(x)\right ) \, dx,x,\csc ^{-1}(a+b x)\right )}{2 b^4}\\ &=-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {\text {Subst}\left (\int x \csc ^4(x) \, dx,x,\csc ^{-1}(a+b x)\right )}{2 b^4}+\frac {(2 a) \text {Subst}\left (\int x \csc ^3(x) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}-\frac {\left (3 a^2\right ) \text {Subst}\left (\int x \csc ^2(x) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}+\frac {\left (2 a^3\right ) \text {Subst}\left (\int x \csc (x) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}\\ &=-\frac {a x}{b^3}+\frac {(a+b x)^2}{12 b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {\text {Subst}\left (\int x \csc ^2(x) \, dx,x,\csc ^{-1}(a+b x)\right )}{3 b^4}+\frac {a \text {Subst}\left (\int x \csc (x) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}-\frac {\left (3 a^2\right ) \text {Subst}\left (\int \cot (x) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}-\frac {\left (2 a^3\right ) \text {Subst}\left (\int \log \left (1-e^{i x}\right ) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}+\frac {\left (2 a^3\right ) \text {Subst}\left (\int \log \left (1+e^{i x}\right ) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}\\ &=-\frac {a x}{b^3}+\frac {(a+b x)^2}{12 b^4}+\frac {(a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{3 b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {2 a \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {3 a^2 \log (a+b x)}{b^4}-\frac {\text {Subst}\left (\int \cot (x) \, dx,x,\csc ^{-1}(a+b x)\right )}{3 b^4}-\frac {a \text {Subst}\left (\int \log \left (1-e^{i x}\right ) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}+\frac {a \text {Subst}\left (\int \log \left (1+e^{i x}\right ) \, dx,x,\csc ^{-1}(a+b x)\right )}{b^4}+\frac {\left (2 i a^3\right ) \text {Subst}\left (\int \frac {\log (1-x)}{x} \, dx,x,e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {\left (2 i a^3\right ) \text {Subst}\left (\int \frac {\log (1+x)}{x} \, dx,x,e^{i \csc ^{-1}(a+b x)}\right )}{b^4}\\ &=-\frac {a x}{b^3}+\frac {(a+b x)^2}{12 b^4}+\frac {(a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{3 b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {2 a \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {\log (a+b x)}{3 b^4}+\frac {3 a^2 \log (a+b x)}{b^4}+\frac {2 i a^3 \text {Li}_2\left (-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {2 i a^3 \text {Li}_2\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {(i a) \text {Subst}\left (\int \frac {\log (1-x)}{x} \, dx,x,e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {(i a) \text {Subst}\left (\int \frac {\log (1+x)}{x} \, dx,x,e^{i \csc ^{-1}(a+b x)}\right )}{b^4}\\ &=-\frac {a x}{b^3}+\frac {(a+b x)^2}{12 b^4}+\frac {(a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{3 b^4}+\frac {3 a^2 (a+b x) \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}-\frac {a (a+b x)^2 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{b^4}+\frac {(a+b x)^3 \sqrt {1-\frac {1}{(a+b x)^2}} \csc ^{-1}(a+b x)}{6 b^4}-\frac {a^4 \csc ^{-1}(a+b x)^2}{4 b^4}+\frac {1}{4} x^4 \csc ^{-1}(a+b x)^2-\frac {2 a \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {4 a^3 \csc ^{-1}(a+b x) \tanh ^{-1}\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {\log (a+b x)}{3 b^4}+\frac {3 a^2 \log (a+b x)}{b^4}+\frac {i a \text {Li}_2\left (-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}+\frac {2 i a^3 \text {Li}_2\left (-e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {i a \text {Li}_2\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}-\frac {2 i a^3 \text {Li}_2\left (e^{i \csc ^{-1}(a+b x)}\right )}{b^4}\\ \end {align*}
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Mathematica [A]
time = 3.48, size = 420, normalized size = 1.15 \begin {gather*} \frac {-16 \left (6 a-2 \left (1+9 a^2\right ) \csc ^{-1}(a+b x)+3 \left (a+2 a^3\right ) \csc ^{-1}(a+b x)^2\right ) \cot \left (\frac {1}{2} \csc ^{-1}(a+b x)\right )+2 \left (2-24 a \csc ^{-1}(a+b x)+\left (3+36 a^2\right ) \csc ^{-1}(a+b x)^2\right ) \csc ^2\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )+3 \csc ^{-1}(a+b x)^2 \csc ^4\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )-\frac {2 \csc ^{-1}(a+b x) \left (-1+6 a \csc ^{-1}(a+b x)\right ) \csc ^4\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )}{a+b x}-64 \left (1+9 a^2\right ) \log \left (\frac {1}{a+b x}\right )+192 \left (a+2 a^3\right ) \left (\csc ^{-1}(a+b x) \left (\log \left (1-e^{i \csc ^{-1}(a+b x)}\right )-\log \left (1+e^{i \csc ^{-1}(a+b x)}\right )\right )+i \left (\text {PolyLog}\left (2,-e^{i \csc ^{-1}(a+b x)}\right )-\text {PolyLog}\left (2,e^{i \csc ^{-1}(a+b x)}\right )\right )\right )+2 \left (2+24 a \csc ^{-1}(a+b x)+\left (3+36 a^2\right ) \csc ^{-1}(a+b x)^2\right ) \sec ^2\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )+3 \csc ^{-1}(a+b x)^2 \sec ^4\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )-32 (a+b x)^3 \csc ^{-1}(a+b x) \left (1+6 a \csc ^{-1}(a+b x)\right ) \sin ^4\left (\frac {1}{2} \csc ^{-1}(a+b x)\right )-16 \left (6 a+2 \left (1+9 a^2\right ) \csc ^{-1}(a+b x)+3 \left (a+2 a^3\right ) \csc ^{-1}(a+b x)^2\right ) \tan \left (\frac {1}{2} \csc ^{-1}(a+b x)\right )}{192 b^4} \end {gather*}
Warning: Unable to verify antiderivative.
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Maple [A]
time = 12.52, size = 703, normalized size = 1.92
method | result | size |
derivativedivides | \(\frac {\frac {\left (b x +a \right )^{2}}{12}-\frac {\ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )}{3}+\frac {2 \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )}{3}-\frac {\ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}-1\right )}{3}-a \left (b x +a \right )+i a \polylog \left (2, -\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-i a \polylog \left (2, \frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+2 i a^{3} \polylog \left (2, -\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-2 i a^{3} \polylog \left (2, \frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-a \,\mathrm {arccsc}\left (b x +a \right ) \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+a \,\mathrm {arccsc}\left (b x +a \right ) \ln \left (1-\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-2 a^{3} \mathrm {arccsc}\left (b x +a \right ) \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+2 a^{3} \mathrm {arccsc}\left (b x +a \right ) \ln \left (1-\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-3 i a^{2} \mathrm {arccsc}\left (b x +a \right )-3 a^{2} \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}-1\right )-3 a^{2} \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+6 a^{2} \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-\frac {i \mathrm {arccsc}\left (b x +a \right )}{3}-\mathrm {arccsc}\left (b x +a \right )^{2} a^{3} \left (b x +a \right )+\frac {3 \mathrm {arccsc}\left (b x +a \right )^{2} a^{2} \left (b x +a \right )^{2}}{2}-\mathrm {arccsc}\left (b x +a \right )^{2} a \left (b x +a \right )^{3}+\frac {\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, \left (b x +a \right )^{3}}{6}+\frac {\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, \left (b x +a \right )}{3}+3 \,\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, a^{2} \left (b x +a \right )-\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, a \left (b x +a \right )^{2}+\frac {\mathrm {arccsc}\left (b x +a \right )^{2} \left (b x +a \right )^{4}}{4}}{b^{4}}\) | \(703\) |
default | \(\frac {\frac {\left (b x +a \right )^{2}}{12}-\frac {\ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )}{3}+\frac {2 \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )}{3}-\frac {\ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}-1\right )}{3}-a \left (b x +a \right )+i a \polylog \left (2, -\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-i a \polylog \left (2, \frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+2 i a^{3} \polylog \left (2, -\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-2 i a^{3} \polylog \left (2, \frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-a \,\mathrm {arccsc}\left (b x +a \right ) \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+a \,\mathrm {arccsc}\left (b x +a \right ) \ln \left (1-\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-2 a^{3} \mathrm {arccsc}\left (b x +a \right ) \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+2 a^{3} \mathrm {arccsc}\left (b x +a \right ) \ln \left (1-\frac {i}{b x +a}-\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-3 i a^{2} \mathrm {arccsc}\left (b x +a \right )-3 a^{2} \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}-1\right )-3 a^{2} \ln \left (1+\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )+6 a^{2} \ln \left (\frac {i}{b x +a}+\sqrt {1-\frac {1}{\left (b x +a \right )^{2}}}\right )-\frac {i \mathrm {arccsc}\left (b x +a \right )}{3}-\mathrm {arccsc}\left (b x +a \right )^{2} a^{3} \left (b x +a \right )+\frac {3 \mathrm {arccsc}\left (b x +a \right )^{2} a^{2} \left (b x +a \right )^{2}}{2}-\mathrm {arccsc}\left (b x +a \right )^{2} a \left (b x +a \right )^{3}+\frac {\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, \left (b x +a \right )^{3}}{6}+\frac {\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, \left (b x +a \right )}{3}+3 \,\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, a^{2} \left (b x +a \right )-\mathrm {arccsc}\left (b x +a \right ) \sqrt {\frac {\left (b x +a \right )^{2}-1}{\left (b x +a \right )^{2}}}\, a \left (b x +a \right )^{2}+\frac {\mathrm {arccsc}\left (b x +a \right )^{2} \left (b x +a \right )^{4}}{4}}{b^{4}}\) | \(703\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Failed to integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int x^{3} \operatorname {acsc}^{2}{\left (a + b x \right )}\, dx \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: RuntimeError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [F]
time = 0.00, size = -1, normalized size = -0.00 \begin {gather*} \int x^3\,{\mathrm {asin}\left (\frac {1}{a+b\,x}\right )}^2 \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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