Optimal. Leaf size=561 \[ -\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}+\sqrt [4]{g}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\frac {\sqrt [4]{-f}}{\sqrt {x}}+\sqrt [4]{g}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \text {Li}_2\left (\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {Li}_2\left (\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \text {Li}_2\left (\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{\sqrt {-\sqrt {-f}} d+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {Li}_2\left (\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{\sqrt [4]{-f} d+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 1.11, antiderivative size = 561, normalized size of antiderivative = 1.00, number of steps used = 20, number of rules used = 10, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.417, Rules used = {2472, 2475, 263, 275, 205, 2416, 260, 2394, 2393, 2391} \[ -\frac {p \text {PolyLog}\left (2,\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {PolyLog}\left (2,\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \text {PolyLog}\left (2,\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {PolyLog}\left (2,\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}+\sqrt [4]{g}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\frac {\sqrt [4]{-f}}{\sqrt {x}}+\sqrt [4]{g}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 205
Rule 260
Rule 263
Rule 275
Rule 2391
Rule 2393
Rule 2394
Rule 2416
Rule 2472
Rule 2475
Rubi steps
\begin {align*} \int \frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right )}{f+g x^2} \, dx &=2 \operatorname {Subst}\left (\int \frac {x \log \left (c \left (d+\frac {e}{x}\right )^p\right )}{f+g x^4} \, dx,x,\sqrt {x}\right )\\ &=-\left (2 \operatorname {Subst}\left (\int \frac {\log \left (c (d+e x)^p\right )}{\left (f+\frac {g}{x^4}\right ) x^3} \, dx,x,\frac {1}{\sqrt {x}}\right )\right )\\ &=-\left (2 \operatorname {Subst}\left (\int \left (-\frac {f x \log \left (c (d+e x)^p\right )}{2 \sqrt {-f} \sqrt {g} \left (\sqrt {-f} \sqrt {g}-f x^2\right )}-\frac {f x \log \left (c (d+e x)^p\right )}{2 \sqrt {-f} \sqrt {g} \left (\sqrt {-f} \sqrt {g}+f x^2\right )}\right ) \, dx,x,\frac {1}{\sqrt {x}}\right )\right )\\ &=-\frac {\sqrt {-f} \operatorname {Subst}\left (\int \frac {x \log \left (c (d+e x)^p\right )}{\sqrt {-f} \sqrt {g}-f x^2} \, dx,x,\frac {1}{\sqrt {x}}\right )}{\sqrt {g}}-\frac {\sqrt {-f} \operatorname {Subst}\left (\int \frac {x \log \left (c (d+e x)^p\right )}{\sqrt {-f} \sqrt {g}+f x^2} \, dx,x,\frac {1}{\sqrt {x}}\right )}{\sqrt {g}}\\ &=-\frac {\sqrt {-f} \operatorname {Subst}\left (\int \left (\frac {\sqrt {-\sqrt {-f}} \log \left (c (d+e x)^p\right )}{2 f \left (\sqrt [4]{g}-\sqrt {-\sqrt {-f}} x\right )}-\frac {\sqrt {-\sqrt {-f}} \log \left (c (d+e x)^p\right )}{2 f \left (\sqrt [4]{g}+\sqrt {-\sqrt {-f}} x\right )}\right ) \, dx,x,\frac {1}{\sqrt {x}}\right )}{\sqrt {g}}-\frac {\sqrt {-f} \operatorname {Subst}\left (\int \left (-\frac {\sqrt [4]{-f} \log \left (c (d+e x)^p\right )}{2 f \left (\sqrt [4]{g}-\sqrt [4]{-f} x\right )}+\frac {\sqrt [4]{-f} \log \left (c (d+e x)^p\right )}{2 f \left (\sqrt [4]{g}+\sqrt [4]{-f} x\right )}\right ) \, dx,x,\frac {1}{\sqrt {x}}\right )}{\sqrt {g}}\\ &=-\frac {\operatorname {Subst}\left (\int \frac {\log \left (c (d+e x)^p\right )}{\sqrt [4]{g}-\sqrt {-\sqrt {-f}} x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-\sqrt {-f}} \sqrt {g}}+\frac {\operatorname {Subst}\left (\int \frac {\log \left (c (d+e x)^p\right )}{\sqrt [4]{g}+\sqrt {-\sqrt {-f}} x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-\sqrt {-f}} \sqrt {g}}-\frac {\operatorname {Subst}\left (\int \frac {\log \left (c (d+e x)^p\right )}{\sqrt [4]{g}-\sqrt [4]{-f} x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt [4]{-f} \sqrt {g}}+\frac {\operatorname {Subst}\left (\int \frac {\log \left (c (d+e x)^p\right )}{\sqrt [4]{g}+\sqrt [4]{-f} x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt [4]{-f} \sqrt {g}}\\ &=-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {(e p) \operatorname {Subst}\left (\int \frac {\log \left (\frac {e \left (\sqrt [4]{g}-\sqrt {-\sqrt {-f}} x\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{d+e x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {(e p) \operatorname {Subst}\left (\int \frac {\log \left (\frac {e \left (\sqrt [4]{g}+\sqrt {-\sqrt {-f}} x\right )}{-d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{d+e x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {(e p) \operatorname {Subst}\left (\int \frac {\log \left (\frac {e \left (\sqrt [4]{g}-\sqrt [4]{-f} x\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{d+e x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {(e p) \operatorname {Subst}\left (\int \frac {\log \left (\frac {e \left (\sqrt [4]{g}+\sqrt [4]{-f} x\right )}{-d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{d+e x} \, dx,x,\frac {1}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}\\ &=-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \operatorname {Subst}\left (\int \frac {\log \left (1+\frac {\sqrt {-\sqrt {-f}} x}{-d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{x} \, dx,x,d+\frac {e}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \operatorname {Subst}\left (\int \frac {\log \left (1-\frac {\sqrt {-\sqrt {-f}} x}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{x} \, dx,x,d+\frac {e}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \operatorname {Subst}\left (\int \frac {\log \left (1+\frac {\sqrt [4]{-f} x}{-d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{x} \, dx,x,d+\frac {e}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \operatorname {Subst}\left (\int \frac {\log \left (1-\frac {\sqrt [4]{-f} x}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{x} \, dx,x,d+\frac {e}{\sqrt {x}}\right )}{2 \sqrt {-f} \sqrt {g}}\\ &=-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt {-\sqrt {-f}}}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\frac {e \left (\sqrt [4]{g}-\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\frac {e \left (\sqrt [4]{g}+\frac {\sqrt [4]{-f}}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \text {Li}_2\left (\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {Li}_2\left (\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}-\frac {p \text {Li}_2\left (\frac {\sqrt {-\sqrt {-f}} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt {-\sqrt {-f}}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}+\frac {p \text {Li}_2\left (\frac {\sqrt [4]{-f} \left (d+\frac {e}{\sqrt {x}}\right )}{d \sqrt [4]{-f}+e \sqrt [4]{g}}\right )}{2 \sqrt {-f} \sqrt {g}}\\ \end {align*}
________________________________________________________________________________________
Mathematica [C] time = 0.58, size = 912, normalized size = 1.63 \[ \frac {\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\sqrt [4]{g} \sqrt {x}-\sqrt [4]{-f}\right )-p \log \left (-\frac {\sqrt [4]{g} \left (\sqrt {x} d+e\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right ) \log \left (-\sqrt [4]{g} \sqrt {x}-\sqrt [4]{-f}\right )+p \log \left (\frac {f \sqrt [4]{g} \sqrt {x}}{(-f)^{5/4}}\right ) \log \left (-\sqrt [4]{g} \sqrt {x}-\sqrt [4]{-f}\right )-\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (-\sqrt [4]{g} \sqrt {x}-i \sqrt [4]{-f}\right )+p \log \left (\frac {i \sqrt [4]{g} \left (\sqrt {x} d+e\right )}{\sqrt [4]{-f} d+i e \sqrt [4]{g}}\right ) \log \left (-\sqrt [4]{g} \sqrt {x}-i \sqrt [4]{-f}\right )-\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (i \sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right )+p \log \left (\frac {\sqrt [4]{g} \left (\sqrt {x} d+e\right )}{i \sqrt [4]{-f} d+e \sqrt [4]{g}}\right ) \log \left (i \sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right )+\log \left (c \left (d+\frac {e}{\sqrt {x}}\right )^p\right ) \log \left (\sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right )-p \log \left (\frac {\sqrt [4]{g} \left (\sqrt {x} d+e\right )}{\sqrt [4]{-f} d+e \sqrt [4]{g}}\right ) \log \left (\sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right )-p \log \left (i \sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right ) \log \left (-\frac {i \sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}\right )-p \log \left (-\sqrt [4]{g} \sqrt {x}-i \sqrt [4]{-f}\right ) \log \left (\frac {i \sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}\right )+p \log \left (\sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right ) \log \left (\frac {\sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}\right )-p \text {Li}_2\left (\frac {d \left (\sqrt [4]{-f}-\sqrt [4]{g} \sqrt {x}\right )}{\sqrt [4]{-f} d+e \sqrt [4]{g}}\right )+p \text {Li}_2\left (\frac {d \left (\sqrt [4]{-f}-i \sqrt [4]{g} \sqrt {x}\right )}{\sqrt [4]{-f} d+i e \sqrt [4]{g}}\right )+p \text {Li}_2\left (\frac {d \left (i \sqrt [4]{g} \sqrt {x}+\sqrt [4]{-f}\right )}{d \sqrt [4]{-f}-i e \sqrt [4]{g}}\right )-p \text {Li}_2\left (\frac {d \left (\sqrt [4]{g} \sqrt {x}+\sqrt [4]{-f}\right )}{d \sqrt [4]{-f}-e \sqrt [4]{g}}\right )-p \text {Li}_2\left (1-\frac {i \sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}\right )-p \text {Li}_2\left (\frac {i \sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}+1\right )+p \text {Li}_2\left (\frac {\sqrt [4]{g} \sqrt {x}}{\sqrt [4]{-f}}+1\right )+p \text {Li}_2\left (\frac {\sqrt [4]{g} \sqrt {x} f}{(-f)^{5/4}}+1\right )}{2 \sqrt {-f} \sqrt {g}} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [F] time = 0.77, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {\log \left (c \left (\frac {d x + e \sqrt {x}}{x}\right )^{p}\right )}{g x^{2} + f}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [F] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\log \left (c {\left (d + \frac {e}{\sqrt {x}}\right )}^{p}\right )}{g x^{2} + f}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [F] time = 0.41, size = 0, normalized size = 0.00 \[ \int \frac {\ln \left (c \left (d +\frac {e}{\sqrt {x}}\right )^{p}\right )}{g \,x^{2}+f}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [F] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\log \left (c {\left (d + \frac {e}{\sqrt {x}}\right )}^{p}\right )}{g x^{2} + f}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [F] time = 0.00, size = -1, normalized size = -0.00 \[ \int \frac {\ln \left (c\,{\left (d+\frac {e}{\sqrt {x}}\right )}^p\right )}{g\,x^2+f} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________