Optimal. Leaf size=532 \[ \frac {2 B (b c-a d) \left (a^2 d^2 g^2-a b d g (3 d f-c g)+b^2 \left (c^2 g^2-3 c d f g+3 d^2 f^2\right )\right ) \log \left (\frac {b c-a d}{b (c+d x)}\right ) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 b^3 d^3}+\frac {2 B^2 (b c-a d) \left (a^2 d^2 g^2-a b d g (3 d f-c g)+b^2 \left (c^2 g^2-3 c d f g+3 d^2 f^2\right )\right ) \text {Li}_2\left (\frac {d (a+b x)}{b (c+d x)}\right )}{3 b^3 d^3}-\frac {2 B g (a+b x) (b c-a d) (-a d g-2 b c g+3 b d f) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 b^3 d^2}-\frac {(b f-a g)^3 \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )^2}{3 b^3 g}-\frac {B g^2 (c+d x)^2 (b c-a d) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 b d^3}+\frac {(f+g x)^3 \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )^2}{3 g}+\frac {2 B^2 g (b c-a d)^2 \log (c+d x) (-a d g-2 b c g+3 b d f)}{3 b^3 d^3}+\frac {B^2 g^2 (b c-a d)^3 \log \left (\frac {a+b x}{c+d x}\right )}{3 b^3 d^3}+\frac {B^2 g^2 (b c-a d)^3 \log (c+d x)}{3 b^3 d^3}+\frac {B^2 g^2 x (b c-a d)^2}{3 b^2 d^2} \]
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Rubi [A] time = 1.09, antiderivative size = 649, normalized size of antiderivative = 1.22, number of steps used = 29, number of rules used = 13, integrand size = 29, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.448, Rules used = {2525, 12, 2528, 2486, 31, 72, 2524, 2418, 2390, 2301, 2394, 2393, 2391} \[ -\frac {2 B^2 (b f-a g)^3 \text {PolyLog}\left (2,-\frac {d (a+b x)}{b c-a d}\right )}{3 b^3 g}-\frac {2 B^2 (d f-c g)^3 \text {PolyLog}\left (2,\frac {b (c+d x)}{b c-a d}\right )}{3 d^3 g}+\frac {a^2 B^2 g^2 (b c-a d) \log (a+b x)}{3 b^3 d}-\frac {2 A B g x (b c-a d) (-a d g-b c g+3 b d f)}{3 b^2 d^2}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 b^3 g}+\frac {2 B (d f-c g)^3 \log (c+d x) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 d^3 g}+\frac {(f+g x)^3 \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )^2}{3 g}-\frac {B g^2 x^2 (b c-a d) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )}{3 b d}-\frac {2 B^2 g (a+b x) (b c-a d) (-a d g-b c g+3 b d f) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}+\frac {2 B^2 g (b c-a d)^2 \log (c+d x) (-a d g-b c g+3 b d f)}{3 b^3 d^3}+\frac {B^2 g^2 x (b c-a d)^2}{3 b^2 d^2}-\frac {2 B^2 (b f-a g)^3 \log (a+b x) \log \left (\frac {b (c+d x)}{b c-a d}\right )}{3 b^3 g}+\frac {B^2 (b f-a g)^3 \log ^2(a+b x)}{3 b^3 g}-\frac {B^2 c^2 g^2 (b c-a d) \log (c+d x)}{3 b d^3}-\frac {2 B^2 (d f-c g)^3 \log (c+d x) \log \left (-\frac {d (a+b x)}{b c-a d}\right )}{3 d^3 g}+\frac {B^2 (d f-c g)^3 \log ^2(c+d x)}{3 d^3 g} \]
Antiderivative was successfully verified.
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Rule 12
Rule 31
Rule 72
Rule 2301
Rule 2390
Rule 2391
Rule 2393
Rule 2394
Rule 2418
Rule 2486
Rule 2524
Rule 2525
Rule 2528
Rubi steps
\begin {align*} \int (f+g x)^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2 \, dx &=\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {(2 B) \int \frac {(b c-a d) (f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{(a+b x) (c+d x)} \, dx}{3 g}\\ &=\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {(2 B (b c-a d)) \int \frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{(a+b x) (c+d x)} \, dx}{3 g}\\ &=\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {(2 B (b c-a d)) \int \left (\frac {g^2 (3 b d f-b c g-a d g) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{b^2 d^2}+\frac {g^3 x \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{b d}+\frac {(b f-a g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{b^2 (b c-a d) (a+b x)}+\frac {(d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{d^2 (-b c+a d) (c+d x)}\right ) \, dx}{3 g}\\ &=\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {\left (2 B (b c-a d) g^2\right ) \int x \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \, dx}{3 b d}-\frac {\left (2 B (b f-a g)^3\right ) \int \frac {A+B \log \left (\frac {e (a+b x)}{c+d x}\right )}{a+b x} \, dx}{3 b^2 g}+\frac {\left (2 B (d f-c g)^3\right ) \int \frac {A+B \log \left (\frac {e (a+b x)}{c+d x}\right )}{c+d x} \, dx}{3 d^2 g}-\frac {(2 B (b c-a d) g (3 b d f-b c g-a d g)) \int \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \, dx}{3 b^2 d^2}\\ &=-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {\left (B^2 (b c-a d) g^2\right ) \int \frac {(b c-a d) x^2}{(a+b x) (c+d x)} \, dx}{3 b d}+\frac {\left (2 B^2 (b f-a g)^3\right ) \int \frac {(c+d x) \left (-\frac {d e (a+b x)}{(c+d x)^2}+\frac {b e}{c+d x}\right ) \log (a+b x)}{e (a+b x)} \, dx}{3 b^3 g}-\frac {\left (2 B^2 (d f-c g)^3\right ) \int \frac {(c+d x) \left (-\frac {d e (a+b x)}{(c+d x)^2}+\frac {b e}{c+d x}\right ) \log (c+d x)}{e (a+b x)} \, dx}{3 d^3 g}-\frac {\left (2 B^2 (b c-a d) g (3 b d f-b c g-a d g)\right ) \int \log \left (\frac {e (a+b x)}{c+d x}\right ) \, dx}{3 b^2 d^2}\\ &=-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {\left (B^2 (b c-a d)^2 g^2\right ) \int \frac {x^2}{(a+b x) (c+d x)} \, dx}{3 b d}+\frac {\left (2 B^2 (b f-a g)^3\right ) \int \frac {(c+d x) \left (-\frac {d e (a+b x)}{(c+d x)^2}+\frac {b e}{c+d x}\right ) \log (a+b x)}{a+b x} \, dx}{3 b^3 e g}-\frac {\left (2 B^2 (d f-c g)^3\right ) \int \frac {(c+d x) \left (-\frac {d e (a+b x)}{(c+d x)^2}+\frac {b e}{c+d x}\right ) \log (c+d x)}{a+b x} \, dx}{3 d^3 e g}+\frac {\left (2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g)\right ) \int \frac {1}{c+d x} \, dx}{3 b^3 d^2}\\ &=-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}+\frac {2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g) \log (c+d x)}{3 b^3 d^3}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {\left (B^2 (b c-a d)^2 g^2\right ) \int \left (\frac {1}{b d}+\frac {a^2}{b (b c-a d) (a+b x)}+\frac {c^2}{d (-b c+a d) (c+d x)}\right ) \, dx}{3 b d}+\frac {\left (2 B^2 (b f-a g)^3\right ) \int \left (\frac {b e \log (a+b x)}{a+b x}-\frac {d e \log (a+b x)}{c+d x}\right ) \, dx}{3 b^3 e g}-\frac {\left (2 B^2 (d f-c g)^3\right ) \int \left (\frac {b e \log (c+d x)}{a+b x}-\frac {d e \log (c+d x)}{c+d x}\right ) \, dx}{3 d^3 e g}\\ &=\frac {B^2 (b c-a d)^2 g^2 x}{3 b^2 d^2}-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}+\frac {a^2 B^2 (b c-a d) g^2 \log (a+b x)}{3 b^3 d}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {B^2 c^2 (b c-a d) g^2 \log (c+d x)}{3 b d^3}+\frac {2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g) \log (c+d x)}{3 b^3 d^3}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {\left (2 B^2 (b f-a g)^3\right ) \int \frac {\log (a+b x)}{a+b x} \, dx}{3 b^2 g}-\frac {\left (2 B^2 d (b f-a g)^3\right ) \int \frac {\log (a+b x)}{c+d x} \, dx}{3 b^3 g}-\frac {\left (2 b B^2 (d f-c g)^3\right ) \int \frac {\log (c+d x)}{a+b x} \, dx}{3 d^3 g}+\frac {\left (2 B^2 (d f-c g)^3\right ) \int \frac {\log (c+d x)}{c+d x} \, dx}{3 d^2 g}\\ &=\frac {B^2 (b c-a d)^2 g^2 x}{3 b^2 d^2}-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}+\frac {a^2 B^2 (b c-a d) g^2 \log (a+b x)}{3 b^3 d}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {B^2 c^2 (b c-a d) g^2 \log (c+d x)}{3 b d^3}+\frac {2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g) \log (c+d x)}{3 b^3 d^3}-\frac {2 B^2 (d f-c g)^3 \log \left (-\frac {d (a+b x)}{b c-a d}\right ) \log (c+d x)}{3 d^3 g}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}-\frac {2 B^2 (b f-a g)^3 \log (a+b x) \log \left (\frac {b (c+d x)}{b c-a d}\right )}{3 b^3 g}+\frac {\left (2 B^2 (b f-a g)^3\right ) \operatorname {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,a+b x\right )}{3 b^3 g}+\frac {\left (2 B^2 (b f-a g)^3\right ) \int \frac {\log \left (\frac {b (c+d x)}{b c-a d}\right )}{a+b x} \, dx}{3 b^2 g}+\frac {\left (2 B^2 (d f-c g)^3\right ) \operatorname {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,c+d x\right )}{3 d^3 g}+\frac {\left (2 B^2 (d f-c g)^3\right ) \int \frac {\log \left (\frac {d (a+b x)}{-b c+a d}\right )}{c+d x} \, dx}{3 d^2 g}\\ &=\frac {B^2 (b c-a d)^2 g^2 x}{3 b^2 d^2}-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}+\frac {a^2 B^2 (b c-a d) g^2 \log (a+b x)}{3 b^3 d}+\frac {B^2 (b f-a g)^3 \log ^2(a+b x)}{3 b^3 g}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {B^2 c^2 (b c-a d) g^2 \log (c+d x)}{3 b d^3}+\frac {2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g) \log (c+d x)}{3 b^3 d^3}-\frac {2 B^2 (d f-c g)^3 \log \left (-\frac {d (a+b x)}{b c-a d}\right ) \log (c+d x)}{3 d^3 g}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {B^2 (d f-c g)^3 \log ^2(c+d x)}{3 d^3 g}-\frac {2 B^2 (b f-a g)^3 \log (a+b x) \log \left (\frac {b (c+d x)}{b c-a d}\right )}{3 b^3 g}+\frac {\left (2 B^2 (b f-a g)^3\right ) \operatorname {Subst}\left (\int \frac {\log \left (1+\frac {d x}{b c-a d}\right )}{x} \, dx,x,a+b x\right )}{3 b^3 g}+\frac {\left (2 B^2 (d f-c g)^3\right ) \operatorname {Subst}\left (\int \frac {\log \left (1+\frac {b x}{-b c+a d}\right )}{x} \, dx,x,c+d x\right )}{3 d^3 g}\\ &=\frac {B^2 (b c-a d)^2 g^2 x}{3 b^2 d^2}-\frac {2 A B (b c-a d) g (3 b d f-b c g-a d g) x}{3 b^2 d^2}+\frac {a^2 B^2 (b c-a d) g^2 \log (a+b x)}{3 b^3 d}+\frac {B^2 (b f-a g)^3 \log ^2(a+b x)}{3 b^3 g}-\frac {2 B^2 (b c-a d) g (3 b d f-b c g-a d g) (a+b x) \log \left (\frac {e (a+b x)}{c+d x}\right )}{3 b^3 d^2}-\frac {B (b c-a d) g^2 x^2 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b d}-\frac {2 B (b f-a g)^3 \log (a+b x) \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )}{3 b^3 g}+\frac {(f+g x)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right )^2}{3 g}-\frac {B^2 c^2 (b c-a d) g^2 \log (c+d x)}{3 b d^3}+\frac {2 B^2 (b c-a d)^2 g (3 b d f-b c g-a d g) \log (c+d x)}{3 b^3 d^3}-\frac {2 B^2 (d f-c g)^3 \log \left (-\frac {d (a+b x)}{b c-a d}\right ) \log (c+d x)}{3 d^3 g}+\frac {2 B (d f-c g)^3 \left (A+B \log \left (\frac {e (a+b x)}{c+d x}\right )\right ) \log (c+d x)}{3 d^3 g}+\frac {B^2 (d f-c g)^3 \log ^2(c+d x)}{3 d^3 g}-\frac {2 B^2 (b f-a g)^3 \log (a+b x) \log \left (\frac {b (c+d x)}{b c-a d}\right )}{3 b^3 g}-\frac {2 B^2 (b f-a g)^3 \text {Li}_2\left (-\frac {d (a+b x)}{b c-a d}\right )}{3 b^3 g}-\frac {2 B^2 (d f-c g)^3 \text {Li}_2\left (\frac {b (c+d x)}{b c-a d}\right )}{3 d^3 g}\\ \end {align*}
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Mathematica [A] time = 0.53, size = 486, normalized size = 0.91 \[ \frac {(f+g x)^3 \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )^2-\frac {B \left (-B g^3 (b c-a d) \left (a^2 d^2 \log (a+b x)-b \left (d x (a d-b c)+b c^2 \log (c+d x)\right )\right )-2 b^3 (d f-c g)^3 \log (c+d x) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )+b^2 d^2 g^3 x^2 (b c-a d) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )+2 d^3 (b f-a g)^3 \log (a+b x) \left (B \log \left (\frac {e (a+b x)}{c+d x}\right )+A\right )+2 A b d g^2 x (b c-a d) (-a d g-b c g+3 b d f)+b^3 B (d f-c g)^3 \left (2 \text {Li}_2\left (\frac {b (c+d x)}{b c-a d}\right )+\log (c+d x) \left (2 \log \left (\frac {d (a+b x)}{a d-b c}\right )-\log (c+d x)\right )\right )-B d^3 (b f-a g)^3 \left (\log (a+b x) \left (\log (a+b x)-2 \log \left (\frac {b (c+d x)}{b c-a d}\right )\right )-2 \text {Li}_2\left (\frac {d (a+b x)}{a d-b c}\right )\right )+2 B d g^2 (a+b x) (b c-a d) (-a d g-b c g+3 b d f) \log \left (\frac {e (a+b x)}{c+d x}\right )+2 B g^2 (b c-a d)^2 \log (c+d x) (a d g+b c g-3 b d f)\right )}{b^3 d^3}}{3 g} \]
Antiderivative was successfully verified.
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fricas [F] time = 0.83, size = 0, normalized size = 0.00 \[ {\rm integral}\left (A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left (B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right )} \log \left (\frac {b e x + a e}{d x + c}\right )^{2} + 2 \, {\left (A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right )} \log \left (\frac {b e x + a e}{d x + c}\right ), x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \[ \text {Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [F] time = 2.10, size = 0, normalized size = 0.00 \[ \int \left (g x +f \right )^{2} \left (B \ln \left (\frac {\left (b x +a \right ) e}{d x +c}\right )+A \right )^{2}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [B] time = 2.04, size = 1300, normalized size = 2.44 \[ \text {result too large to display} \]
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 \[ \int {\left (f+g\,x\right )}^2\,{\left (A+B\,\ln \left (\frac {e\,\left (a+b\,x\right )}{c+d\,x}\right )\right )}^2 \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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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.
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[Out]
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