3.1038 \(\int (a+b x)^6 (A+B x) (d+e x)^4 \, dx\)
Optimal. Leaf size=204 \[ \frac{e^3 (a+b x)^{11} (-5 a B e+A b e+4 b B d)}{11 b^6}+\frac{e^2 (a+b x)^{10} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{5 b^6}+\frac{2 e (a+b x)^9 (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{9 b^6}+\frac{(a+b x)^8 (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{8 b^6}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^4}{7 b^6}+\frac{B e^4 (a+b x)^{12}}{12 b^6} \]
[Out]
((A*b - a*B)*(b*d - a*e)^4*(a + b*x)^7)/(7*b^6) + ((b*d - a*e)^3*(b*B*d + 4*A*b*
e - 5*a*B*e)*(a + b*x)^8)/(8*b^6) + (2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*
B*e)*(a + b*x)^9)/(9*b^6) + (e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a +
b*x)^10)/(5*b^6) + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^11)/(11*b^6) + (B*
e^4*(a + b*x)^12)/(12*b^6)
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Rubi [A] time = 1.94016, antiderivative size = 204, normalized size of antiderivative = 1.,
number of steps used = 2, number of rules used = 1, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.05
\[ \frac{e^3 (a+b x)^{11} (-5 a B e+A b e+4 b B d)}{11 b^6}+\frac{e^2 (a+b x)^{10} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{5 b^6}+\frac{2 e (a+b x)^9 (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{9 b^6}+\frac{(a+b x)^8 (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{8 b^6}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^4}{7 b^6}+\frac{B e^4 (a+b x)^{12}}{12 b^6} \]
Antiderivative was successfully verified.
[In] Int[(a + b*x)^6*(A + B*x)*(d + e*x)^4,x]
[Out]
((A*b - a*B)*(b*d - a*e)^4*(a + b*x)^7)/(7*b^6) + ((b*d - a*e)^3*(b*B*d + 4*A*b*
e - 5*a*B*e)*(a + b*x)^8)/(8*b^6) + (2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*
B*e)*(a + b*x)^9)/(9*b^6) + (e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a +
b*x)^10)/(5*b^6) + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^11)/(11*b^6) + (B*
e^4*(a + b*x)^12)/(12*b^6)
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Rubi in Sympy [A] time = 118.162, size = 202, normalized size = 0.99 \[ \frac{B e^{4} \left (a + b x\right )^{12}}{12 b^{6}} + \frac{e^{3} \left (a + b x\right )^{11} \left (A b e - 5 B a e + 4 B b d\right )}{11 b^{6}} - \frac{e^{2} \left (a + b x\right )^{10} \left (a e - b d\right ) \left (2 A b e - 5 B a e + 3 B b d\right )}{5 b^{6}} + \frac{2 e \left (a + b x\right )^{9} \left (a e - b d\right )^{2} \left (3 A b e - 5 B a e + 2 B b d\right )}{9 b^{6}} - \frac{\left (a + b x\right )^{8} \left (a e - b d\right )^{3} \left (4 A b e - 5 B a e + B b d\right )}{8 b^{6}} + \frac{\left (a + b x\right )^{7} \left (A b - B a\right ) \left (a e - b d\right )^{4}}{7 b^{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((b*x+a)**6*(B*x+A)*(e*x+d)**4,x)
[Out]
B*e**4*(a + b*x)**12/(12*b**6) + e**3*(a + b*x)**11*(A*b*e - 5*B*a*e + 4*B*b*d)/
(11*b**6) - e**2*(a + b*x)**10*(a*e - b*d)*(2*A*b*e - 5*B*a*e + 3*B*b*d)/(5*b**6
) + 2*e*(a + b*x)**9*(a*e - b*d)**2*(3*A*b*e - 5*B*a*e + 2*B*b*d)/(9*b**6) - (a
+ b*x)**8*(a*e - b*d)**3*(4*A*b*e - 5*B*a*e + B*b*d)/(8*b**6) + (a + b*x)**7*(A*
b - B*a)*(a*e - b*d)**4/(7*b**6)
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Mathematica [B] time = 0.528021, size = 762, normalized size = 3.74 \[ a^6 A d^4 x+\frac{1}{2} a^5 d^3 x^2 (4 a A e+a B d+6 A b d)+\frac{1}{10} b^4 e^2 x^{10} \left (15 a^2 B e^2+6 a b e (A e+4 B d)+2 b^2 d (2 A e+3 B d)\right )+\frac{1}{3} a^4 d^2 x^3 \left (3 A \left (2 a^2 e^2+8 a b d e+5 b^2 d^2\right )+2 a B d (2 a e+3 b d)\right )+\frac{1}{9} b^3 e x^9 \left (20 a^3 B e^3+15 a^2 b e^2 (A e+4 B d)+12 a b^2 d e (2 A e+3 B d)+2 b^3 d^2 (3 A e+2 B d)\right )+\frac{1}{4} a^3 d x^4 \left (3 a B d \left (2 a^2 e^2+8 a b d e+5 b^2 d^2\right )+4 A \left (a^3 e^3+9 a^2 b d e^2+15 a b^2 d^2 e+5 b^3 d^3\right )\right )+\frac{1}{8} b^2 x^8 \left (15 a^4 B e^4+20 a^3 b e^3 (A e+4 B d)+30 a^2 b^2 d e^2 (2 A e+3 B d)+12 a b^3 d^2 e (3 A e+2 B d)+b^4 d^3 (4 A e+B d)\right )+\frac{1}{7} b x^7 \left (A b \left (15 a^4 e^4+80 a^3 b d e^3+90 a^2 b^2 d^2 e^2+24 a b^3 d^3 e+b^4 d^4\right )+6 a B \left (a^4 e^4+10 a^3 b d e^3+20 a^2 b^2 d^2 e^2+10 a b^3 d^3 e+b^4 d^4\right )\right )+\frac{1}{6} a x^6 \left (6 A b \left (a^4 e^4+10 a^3 b d e^3+20 a^2 b^2 d^2 e^2+10 a b^3 d^3 e+b^4 d^4\right )+a B \left (a^4 e^4+24 a^3 b d e^3+90 a^2 b^2 d^2 e^2+80 a b^3 d^3 e+15 b^4 d^4\right )\right )+\frac{1}{5} a^2 x^5 \left (4 a B d \left (a^3 e^3+9 a^2 b d e^2+15 a b^2 d^2 e+5 b^3 d^3\right )+A \left (a^4 e^4+24 a^3 b d e^3+90 a^2 b^2 d^2 e^2+80 a b^3 d^3 e+15 b^4 d^4\right )\right )+\frac{1}{11} b^5 e^3 x^{11} (6 a B e+A b e+4 b B d)+\frac{1}{12} b^6 B e^4 x^{12} \]
Antiderivative was successfully verified.
[In] Integrate[(a + b*x)^6*(A + B*x)*(d + e*x)^4,x]
[Out]
a^6*A*d^4*x + (a^5*d^3*(6*A*b*d + a*B*d + 4*a*A*e)*x^2)/2 + (a^4*d^2*(2*a*B*d*(3
*b*d + 2*a*e) + 3*A*(5*b^2*d^2 + 8*a*b*d*e + 2*a^2*e^2))*x^3)/3 + (a^3*d*(3*a*B*
d*(5*b^2*d^2 + 8*a*b*d*e + 2*a^2*e^2) + 4*A*(5*b^3*d^3 + 15*a*b^2*d^2*e + 9*a^2*
b*d*e^2 + a^3*e^3))*x^4)/4 + (a^2*(4*a*B*d*(5*b^3*d^3 + 15*a*b^2*d^2*e + 9*a^2*b
*d*e^2 + a^3*e^3) + A*(15*b^4*d^4 + 80*a*b^3*d^3*e + 90*a^2*b^2*d^2*e^2 + 24*a^3
*b*d*e^3 + a^4*e^4))*x^5)/5 + (a*(6*A*b*(b^4*d^4 + 10*a*b^3*d^3*e + 20*a^2*b^2*d
^2*e^2 + 10*a^3*b*d*e^3 + a^4*e^4) + a*B*(15*b^4*d^4 + 80*a*b^3*d^3*e + 90*a^2*b
^2*d^2*e^2 + 24*a^3*b*d*e^3 + a^4*e^4))*x^6)/6 + (b*(6*a*B*(b^4*d^4 + 10*a*b^3*d
^3*e + 20*a^2*b^2*d^2*e^2 + 10*a^3*b*d*e^3 + a^4*e^4) + A*b*(b^4*d^4 + 24*a*b^3*
d^3*e + 90*a^2*b^2*d^2*e^2 + 80*a^3*b*d*e^3 + 15*a^4*e^4))*x^7)/7 + (b^2*(15*a^4
*B*e^4 + 20*a^3*b*e^3*(4*B*d + A*e) + 30*a^2*b^2*d*e^2*(3*B*d + 2*A*e) + 12*a*b^
3*d^2*e*(2*B*d + 3*A*e) + b^4*d^3*(B*d + 4*A*e))*x^8)/8 + (b^3*e*(20*a^3*B*e^3 +
15*a^2*b*e^2*(4*B*d + A*e) + 12*a*b^2*d*e*(3*B*d + 2*A*e) + 2*b^3*d^2*(2*B*d +
3*A*e))*x^9)/9 + (b^4*e^2*(15*a^2*B*e^2 + 6*a*b*e*(4*B*d + A*e) + 2*b^2*d*(3*B*d
+ 2*A*e))*x^10)/10 + (b^5*e^3*(4*b*B*d + A*b*e + 6*a*B*e)*x^11)/11 + (b^6*B*e^4
*x^12)/12
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Maple [B] time = 0.003, size = 821, normalized size = 4. \[ \text{result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((b*x+a)^6*(B*x+A)*(e*x+d)^4,x)
[Out]
1/12*b^6*B*e^4*x^12+1/11*((A*b^6+6*B*a*b^5)*e^4+4*b^6*B*d*e^3)*x^11+1/10*((6*A*a
*b^5+15*B*a^2*b^4)*e^4+4*(A*b^6+6*B*a*b^5)*d*e^3+6*b^6*B*d^2*e^2)*x^10+1/9*((15*
A*a^2*b^4+20*B*a^3*b^3)*e^4+4*(6*A*a*b^5+15*B*a^2*b^4)*d*e^3+6*(A*b^6+6*B*a*b^5)
*d^2*e^2+4*b^6*B*d^3*e)*x^9+1/8*((20*A*a^3*b^3+15*B*a^4*b^2)*e^4+4*(15*A*a^2*b^4
+20*B*a^3*b^3)*d*e^3+6*(6*A*a*b^5+15*B*a^2*b^4)*d^2*e^2+4*(A*b^6+6*B*a*b^5)*d^3*
e+b^6*B*d^4)*x^8+1/7*((15*A*a^4*b^2+6*B*a^5*b)*e^4+4*(20*A*a^3*b^3+15*B*a^4*b^2)
*d*e^3+6*(15*A*a^2*b^4+20*B*a^3*b^3)*d^2*e^2+4*(6*A*a*b^5+15*B*a^2*b^4)*d^3*e+(A
*b^6+6*B*a*b^5)*d^4)*x^7+1/6*((6*A*a^5*b+B*a^6)*e^4+4*(15*A*a^4*b^2+6*B*a^5*b)*d
*e^3+6*(20*A*a^3*b^3+15*B*a^4*b^2)*d^2*e^2+4*(15*A*a^2*b^4+20*B*a^3*b^3)*d^3*e+(
6*A*a*b^5+15*B*a^2*b^4)*d^4)*x^6+1/5*(a^6*A*e^4+4*(6*A*a^5*b+B*a^6)*d*e^3+6*(15*
A*a^4*b^2+6*B*a^5*b)*d^2*e^2+4*(20*A*a^3*b^3+15*B*a^4*b^2)*d^3*e+(15*A*a^2*b^4+2
0*B*a^3*b^3)*d^4)*x^5+1/4*(4*a^6*A*d*e^3+6*(6*A*a^5*b+B*a^6)*d^2*e^2+4*(15*A*a^4
*b^2+6*B*a^5*b)*d^3*e+(20*A*a^3*b^3+15*B*a^4*b^2)*d^4)*x^4+1/3*(6*a^6*A*d^2*e^2+
4*(6*A*a^5*b+B*a^6)*d^3*e+(15*A*a^4*b^2+6*B*a^5*b)*d^4)*x^3+1/2*(4*a^6*A*d^3*e+(
6*A*a^5*b+B*a^6)*d^4)*x^2+a^6*A*d^4*x
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Maxima [A] time = 1.35751, size = 1118, normalized size = 5.48 \[ \text{result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((B*x + A)*(b*x + a)^6*(e*x + d)^4,x, algorithm="maxima")
[Out]
1/12*B*b^6*e^4*x^12 + A*a^6*d^4*x + 1/11*(4*B*b^6*d*e^3 + (6*B*a*b^5 + A*b^6)*e^
4)*x^11 + 1/10*(6*B*b^6*d^2*e^2 + 4*(6*B*a*b^5 + A*b^6)*d*e^3 + 3*(5*B*a^2*b^4 +
2*A*a*b^5)*e^4)*x^10 + 1/9*(4*B*b^6*d^3*e + 6*(6*B*a*b^5 + A*b^6)*d^2*e^2 + 12*
(5*B*a^2*b^4 + 2*A*a*b^5)*d*e^3 + 5*(4*B*a^3*b^3 + 3*A*a^2*b^4)*e^4)*x^9 + 1/8*(
B*b^6*d^4 + 4*(6*B*a*b^5 + A*b^6)*d^3*e + 18*(5*B*a^2*b^4 + 2*A*a*b^5)*d^2*e^2 +
20*(4*B*a^3*b^3 + 3*A*a^2*b^4)*d*e^3 + 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*e^4)*x^8 +
1/7*((6*B*a*b^5 + A*b^6)*d^4 + 12*(5*B*a^2*b^4 + 2*A*a*b^5)*d^3*e + 30*(4*B*a^3
*b^3 + 3*A*a^2*b^4)*d^2*e^2 + 20*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d*e^3 + 3*(2*B*a^5*
b + 5*A*a^4*b^2)*e^4)*x^7 + 1/6*(3*(5*B*a^2*b^4 + 2*A*a*b^5)*d^4 + 20*(4*B*a^3*b
^3 + 3*A*a^2*b^4)*d^3*e + 30*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^2*e^2 + 12*(2*B*a^5*b
+ 5*A*a^4*b^2)*d*e^3 + (B*a^6 + 6*A*a^5*b)*e^4)*x^6 + 1/5*(A*a^6*e^4 + 5*(4*B*a
^3*b^3 + 3*A*a^2*b^4)*d^4 + 20*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^3*e + 18*(2*B*a^5*b
+ 5*A*a^4*b^2)*d^2*e^2 + 4*(B*a^6 + 6*A*a^5*b)*d*e^3)*x^5 + 1/4*(4*A*a^6*d*e^3
+ 5*(3*B*a^4*b^2 + 4*A*a^3*b^3)*d^4 + 12*(2*B*a^5*b + 5*A*a^4*b^2)*d^3*e + 6*(B*
a^6 + 6*A*a^5*b)*d^2*e^2)*x^4 + 1/3*(6*A*a^6*d^2*e^2 + 3*(2*B*a^5*b + 5*A*a^4*b^
2)*d^4 + 4*(B*a^6 + 6*A*a^5*b)*d^3*e)*x^3 + 1/2*(4*A*a^6*d^3*e + (B*a^6 + 6*A*a^
5*b)*d^4)*x^2
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Fricas [A] time = 0.19137, size = 1, normalized size = 0. \[ \text{result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((B*x + A)*(b*x + a)^6*(e*x + d)^4,x, algorithm="fricas")
[Out]
1/12*x^12*e^4*b^6*B + 4/11*x^11*e^3*d*b^6*B + 6/11*x^11*e^4*b^5*a*B + 1/11*x^11*
e^4*b^6*A + 3/5*x^10*e^2*d^2*b^6*B + 12/5*x^10*e^3*d*b^5*a*B + 3/2*x^10*e^4*b^4*
a^2*B + 2/5*x^10*e^3*d*b^6*A + 3/5*x^10*e^4*b^5*a*A + 4/9*x^9*e*d^3*b^6*B + 4*x^
9*e^2*d^2*b^5*a*B + 20/3*x^9*e^3*d*b^4*a^2*B + 20/9*x^9*e^4*b^3*a^3*B + 2/3*x^9*
e^2*d^2*b^6*A + 8/3*x^9*e^3*d*b^5*a*A + 5/3*x^9*e^4*b^4*a^2*A + 1/8*x^8*d^4*b^6*
B + 3*x^8*e*d^3*b^5*a*B + 45/4*x^8*e^2*d^2*b^4*a^2*B + 10*x^8*e^3*d*b^3*a^3*B +
15/8*x^8*e^4*b^2*a^4*B + 1/2*x^8*e*d^3*b^6*A + 9/2*x^8*e^2*d^2*b^5*a*A + 15/2*x^
8*e^3*d*b^4*a^2*A + 5/2*x^8*e^4*b^3*a^3*A + 6/7*x^7*d^4*b^5*a*B + 60/7*x^7*e*d^3
*b^4*a^2*B + 120/7*x^7*e^2*d^2*b^3*a^3*B + 60/7*x^7*e^3*d*b^2*a^4*B + 6/7*x^7*e^
4*b*a^5*B + 1/7*x^7*d^4*b^6*A + 24/7*x^7*e*d^3*b^5*a*A + 90/7*x^7*e^2*d^2*b^4*a^
2*A + 80/7*x^7*e^3*d*b^3*a^3*A + 15/7*x^7*e^4*b^2*a^4*A + 5/2*x^6*d^4*b^4*a^2*B
+ 40/3*x^6*e*d^3*b^3*a^3*B + 15*x^6*e^2*d^2*b^2*a^4*B + 4*x^6*e^3*d*b*a^5*B + 1/
6*x^6*e^4*a^6*B + x^6*d^4*b^5*a*A + 10*x^6*e*d^3*b^4*a^2*A + 20*x^6*e^2*d^2*b^3*
a^3*A + 10*x^6*e^3*d*b^2*a^4*A + x^6*e^4*b*a^5*A + 4*x^5*d^4*b^3*a^3*B + 12*x^5*
e*d^3*b^2*a^4*B + 36/5*x^5*e^2*d^2*b*a^5*B + 4/5*x^5*e^3*d*a^6*B + 3*x^5*d^4*b^4
*a^2*A + 16*x^5*e*d^3*b^3*a^3*A + 18*x^5*e^2*d^2*b^2*a^4*A + 24/5*x^5*e^3*d*b*a^
5*A + 1/5*x^5*e^4*a^6*A + 15/4*x^4*d^4*b^2*a^4*B + 6*x^4*e*d^3*b*a^5*B + 3/2*x^4
*e^2*d^2*a^6*B + 5*x^4*d^4*b^3*a^3*A + 15*x^4*e*d^3*b^2*a^4*A + 9*x^4*e^2*d^2*b*
a^5*A + x^4*e^3*d*a^6*A + 2*x^3*d^4*b*a^5*B + 4/3*x^3*e*d^3*a^6*B + 5*x^3*d^4*b^
2*a^4*A + 8*x^3*e*d^3*b*a^5*A + 2*x^3*e^2*d^2*a^6*A + 1/2*x^2*d^4*a^6*B + 3*x^2*
d^4*b*a^5*A + 2*x^2*e*d^3*a^6*A + x*d^4*a^6*A
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Sympy [A] time = 0.515343, size = 1035, normalized size = 5.07 \[ \text{result too large to display} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((b*x+a)**6*(B*x+A)*(e*x+d)**4,x)
[Out]
A*a**6*d**4*x + B*b**6*e**4*x**12/12 + x**11*(A*b**6*e**4/11 + 6*B*a*b**5*e**4/1
1 + 4*B*b**6*d*e**3/11) + x**10*(3*A*a*b**5*e**4/5 + 2*A*b**6*d*e**3/5 + 3*B*a**
2*b**4*e**4/2 + 12*B*a*b**5*d*e**3/5 + 3*B*b**6*d**2*e**2/5) + x**9*(5*A*a**2*b*
*4*e**4/3 + 8*A*a*b**5*d*e**3/3 + 2*A*b**6*d**2*e**2/3 + 20*B*a**3*b**3*e**4/9 +
20*B*a**2*b**4*d*e**3/3 + 4*B*a*b**5*d**2*e**2 + 4*B*b**6*d**3*e/9) + x**8*(5*A
*a**3*b**3*e**4/2 + 15*A*a**2*b**4*d*e**3/2 + 9*A*a*b**5*d**2*e**2/2 + A*b**6*d*
*3*e/2 + 15*B*a**4*b**2*e**4/8 + 10*B*a**3*b**3*d*e**3 + 45*B*a**2*b**4*d**2*e**
2/4 + 3*B*a*b**5*d**3*e + B*b**6*d**4/8) + x**7*(15*A*a**4*b**2*e**4/7 + 80*A*a*
*3*b**3*d*e**3/7 + 90*A*a**2*b**4*d**2*e**2/7 + 24*A*a*b**5*d**3*e/7 + A*b**6*d*
*4/7 + 6*B*a**5*b*e**4/7 + 60*B*a**4*b**2*d*e**3/7 + 120*B*a**3*b**3*d**2*e**2/7
+ 60*B*a**2*b**4*d**3*e/7 + 6*B*a*b**5*d**4/7) + x**6*(A*a**5*b*e**4 + 10*A*a**
4*b**2*d*e**3 + 20*A*a**3*b**3*d**2*e**2 + 10*A*a**2*b**4*d**3*e + A*a*b**5*d**4
+ B*a**6*e**4/6 + 4*B*a**5*b*d*e**3 + 15*B*a**4*b**2*d**2*e**2 + 40*B*a**3*b**3
*d**3*e/3 + 5*B*a**2*b**4*d**4/2) + x**5*(A*a**6*e**4/5 + 24*A*a**5*b*d*e**3/5 +
18*A*a**4*b**2*d**2*e**2 + 16*A*a**3*b**3*d**3*e + 3*A*a**2*b**4*d**4 + 4*B*a**
6*d*e**3/5 + 36*B*a**5*b*d**2*e**2/5 + 12*B*a**4*b**2*d**3*e + 4*B*a**3*b**3*d**
4) + x**4*(A*a**6*d*e**3 + 9*A*a**5*b*d**2*e**2 + 15*A*a**4*b**2*d**3*e + 5*A*a*
*3*b**3*d**4 + 3*B*a**6*d**2*e**2/2 + 6*B*a**5*b*d**3*e + 15*B*a**4*b**2*d**4/4)
+ x**3*(2*A*a**6*d**2*e**2 + 8*A*a**5*b*d**3*e + 5*A*a**4*b**2*d**4 + 4*B*a**6*
d**3*e/3 + 2*B*a**5*b*d**4) + x**2*(2*A*a**6*d**3*e + 3*A*a**5*b*d**4 + B*a**6*d
**4/2)
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.226031, size = 1, normalized size = 0. \[ \mathit{Done} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((B*x + A)*(b*x + a)^6*(e*x + d)^4,x, algorithm="giac")
[Out]
Done