Optimal. Leaf size=173 \[ \frac {(b c-a d)^6 (c+d x)^8}{8 d^7}-\frac {2 b (b c-a d)^5 (c+d x)^9}{3 d^7}+\frac {3 b^2 (b c-a d)^4 (c+d x)^{10}}{2 d^7}-\frac {20 b^3 (b c-a d)^3 (c+d x)^{11}}{11 d^7}+\frac {5 b^4 (b c-a d)^2 (c+d x)^{12}}{4 d^7}-\frac {6 b^5 (b c-a d) (c+d x)^{13}}{13 d^7}+\frac {b^6 (c+d x)^{14}}{14 d^7} \]
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Rubi [A]
time = 0.31, antiderivative size = 173, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {45}
\begin {gather*} -\frac {6 b^5 (c+d x)^{13} (b c-a d)}{13 d^7}+\frac {5 b^4 (c+d x)^{12} (b c-a d)^2}{4 d^7}-\frac {20 b^3 (c+d x)^{11} (b c-a d)^3}{11 d^7}+\frac {3 b^2 (c+d x)^{10} (b c-a d)^4}{2 d^7}-\frac {2 b (c+d x)^9 (b c-a d)^5}{3 d^7}+\frac {(c+d x)^8 (b c-a d)^6}{8 d^7}+\frac {b^6 (c+d x)^{14}}{14 d^7} \end {gather*}
Antiderivative was successfully verified.
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Rule 45
Rubi steps
\begin {align*} \int (a+b x)^6 (c+d x)^7 \, dx &=\int \left (\frac {(-b c+a d)^6 (c+d x)^7}{d^6}-\frac {6 b (b c-a d)^5 (c+d x)^8}{d^6}+\frac {15 b^2 (b c-a d)^4 (c+d x)^9}{d^6}-\frac {20 b^3 (b c-a d)^3 (c+d x)^{10}}{d^6}+\frac {15 b^4 (b c-a d)^2 (c+d x)^{11}}{d^6}-\frac {6 b^5 (b c-a d) (c+d x)^{12}}{d^6}+\frac {b^6 (c+d x)^{13}}{d^6}\right ) \, dx\\ &=\frac {(b c-a d)^6 (c+d x)^8}{8 d^7}-\frac {2 b (b c-a d)^5 (c+d x)^9}{3 d^7}+\frac {3 b^2 (b c-a d)^4 (c+d x)^{10}}{2 d^7}-\frac {20 b^3 (b c-a d)^3 (c+d x)^{11}}{11 d^7}+\frac {5 b^4 (b c-a d)^2 (c+d x)^{12}}{4 d^7}-\frac {6 b^5 (b c-a d) (c+d x)^{13}}{13 d^7}+\frac {b^6 (c+d x)^{14}}{14 d^7}\\ \end {align*}
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Mathematica [B] Leaf count is larger than twice the leaf count of optimal. \(684\) vs. \(2(173)=346\).
time = 0.05, size = 684, normalized size = 3.95 \begin {gather*} a^6 c^7 x+\frac {1}{2} a^5 c^6 (6 b c+7 a d) x^2+a^4 c^5 \left (5 b^2 c^2+14 a b c d+7 a^2 d^2\right ) x^3+\frac {1}{4} a^3 c^4 \left (20 b^3 c^3+105 a b^2 c^2 d+126 a^2 b c d^2+35 a^3 d^3\right ) x^4+a^2 c^3 \left (3 b^4 c^4+28 a b^3 c^3 d+63 a^2 b^2 c^2 d^2+42 a^3 b c d^3+7 a^4 d^4\right ) x^5+\frac {1}{2} a c^2 \left (2 b^5 c^5+35 a b^4 c^4 d+140 a^2 b^3 c^3 d^2+175 a^3 b^2 c^2 d^3+70 a^4 b c d^4+7 a^5 d^5\right ) x^6+\frac {1}{7} c \left (b^6 c^6+42 a b^5 c^5 d+315 a^2 b^4 c^4 d^2+700 a^3 b^3 c^3 d^3+525 a^4 b^2 c^2 d^4+126 a^5 b c d^5+7 a^6 d^6\right ) x^7+\frac {1}{8} d \left (7 b^6 c^6+126 a b^5 c^5 d+525 a^2 b^4 c^4 d^2+700 a^3 b^3 c^3 d^3+315 a^4 b^2 c^2 d^4+42 a^5 b c d^5+a^6 d^6\right ) x^8+\frac {1}{3} b d^2 \left (7 b^5 c^5+70 a b^4 c^4 d+175 a^2 b^3 c^3 d^2+140 a^3 b^2 c^2 d^3+35 a^4 b c d^4+2 a^5 d^5\right ) x^9+\frac {1}{2} b^2 d^3 \left (7 b^4 c^4+42 a b^3 c^3 d+63 a^2 b^2 c^2 d^2+28 a^3 b c d^3+3 a^4 d^4\right ) x^{10}+\frac {1}{11} b^3 d^4 \left (35 b^3 c^3+126 a b^2 c^2 d+105 a^2 b c d^2+20 a^3 d^3\right ) x^{11}+\frac {1}{4} b^4 d^5 \left (7 b^2 c^2+14 a b c d+5 a^2 d^2\right ) x^{12}+\frac {1}{13} b^5 d^6 (7 b c+6 a d) x^{13}+\frac {1}{14} b^6 d^7 x^{14} \end {gather*}
Antiderivative was successfully verified.
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Maple [B] Leaf count of result is larger than twice the leaf count of optimal. \(708\) vs.
\(2(159)=318\).
time = 0.14, size = 709, normalized size = 4.10 Too large to display
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [B] Leaf count of result is larger than twice the leaf count of optimal. 706 vs.
\(2 (159) = 318\).
time = 0.27, size = 706, normalized size = 4.08 \begin {gather*} \frac {1}{14} \, b^{6} d^{7} x^{14} + a^{6} c^{7} x + \frac {1}{13} \, {\left (7 \, b^{6} c d^{6} + 6 \, a b^{5} d^{7}\right )} x^{13} + \frac {1}{4} \, {\left (7 \, b^{6} c^{2} d^{5} + 14 \, a b^{5} c d^{6} + 5 \, a^{2} b^{4} d^{7}\right )} x^{12} + \frac {1}{11} \, {\left (35 \, b^{6} c^{3} d^{4} + 126 \, a b^{5} c^{2} d^{5} + 105 \, a^{2} b^{4} c d^{6} + 20 \, a^{3} b^{3} d^{7}\right )} x^{11} + \frac {1}{2} \, {\left (7 \, b^{6} c^{4} d^{3} + 42 \, a b^{5} c^{3} d^{4} + 63 \, a^{2} b^{4} c^{2} d^{5} + 28 \, a^{3} b^{3} c d^{6} + 3 \, a^{4} b^{2} d^{7}\right )} x^{10} + \frac {1}{3} \, {\left (7 \, b^{6} c^{5} d^{2} + 70 \, a b^{5} c^{4} d^{3} + 175 \, a^{2} b^{4} c^{3} d^{4} + 140 \, a^{3} b^{3} c^{2} d^{5} + 35 \, a^{4} b^{2} c d^{6} + 2 \, a^{5} b d^{7}\right )} x^{9} + \frac {1}{8} \, {\left (7 \, b^{6} c^{6} d + 126 \, a b^{5} c^{5} d^{2} + 525 \, a^{2} b^{4} c^{4} d^{3} + 700 \, a^{3} b^{3} c^{3} d^{4} + 315 \, a^{4} b^{2} c^{2} d^{5} + 42 \, a^{5} b c d^{6} + a^{6} d^{7}\right )} x^{8} + \frac {1}{7} \, {\left (b^{6} c^{7} + 42 \, a b^{5} c^{6} d + 315 \, a^{2} b^{4} c^{5} d^{2} + 700 \, a^{3} b^{3} c^{4} d^{3} + 525 \, a^{4} b^{2} c^{3} d^{4} + 126 \, a^{5} b c^{2} d^{5} + 7 \, a^{6} c d^{6}\right )} x^{7} + \frac {1}{2} \, {\left (2 \, a b^{5} c^{7} + 35 \, a^{2} b^{4} c^{6} d + 140 \, a^{3} b^{3} c^{5} d^{2} + 175 \, a^{4} b^{2} c^{4} d^{3} + 70 \, a^{5} b c^{3} d^{4} + 7 \, a^{6} c^{2} d^{5}\right )} x^{6} + {\left (3 \, a^{2} b^{4} c^{7} + 28 \, a^{3} b^{3} c^{6} d + 63 \, a^{4} b^{2} c^{5} d^{2} + 42 \, a^{5} b c^{4} d^{3} + 7 \, a^{6} c^{3} d^{4}\right )} x^{5} + \frac {1}{4} \, {\left (20 \, a^{3} b^{3} c^{7} + 105 \, a^{4} b^{2} c^{6} d + 126 \, a^{5} b c^{5} d^{2} + 35 \, a^{6} c^{4} d^{3}\right )} x^{4} + {\left (5 \, a^{4} b^{2} c^{7} + 14 \, a^{5} b c^{6} d + 7 \, a^{6} c^{5} d^{2}\right )} x^{3} + \frac {1}{2} \, {\left (6 \, a^{5} b c^{7} + 7 \, a^{6} c^{6} d\right )} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [B] Leaf count of result is larger than twice the leaf count of optimal. 706 vs.
\(2 (159) = 318\).
time = 0.64, size = 706, normalized size = 4.08 \begin {gather*} \frac {1}{14} \, b^{6} d^{7} x^{14} + a^{6} c^{7} x + \frac {1}{13} \, {\left (7 \, b^{6} c d^{6} + 6 \, a b^{5} d^{7}\right )} x^{13} + \frac {1}{4} \, {\left (7 \, b^{6} c^{2} d^{5} + 14 \, a b^{5} c d^{6} + 5 \, a^{2} b^{4} d^{7}\right )} x^{12} + \frac {1}{11} \, {\left (35 \, b^{6} c^{3} d^{4} + 126 \, a b^{5} c^{2} d^{5} + 105 \, a^{2} b^{4} c d^{6} + 20 \, a^{3} b^{3} d^{7}\right )} x^{11} + \frac {1}{2} \, {\left (7 \, b^{6} c^{4} d^{3} + 42 \, a b^{5} c^{3} d^{4} + 63 \, a^{2} b^{4} c^{2} d^{5} + 28 \, a^{3} b^{3} c d^{6} + 3 \, a^{4} b^{2} d^{7}\right )} x^{10} + \frac {1}{3} \, {\left (7 \, b^{6} c^{5} d^{2} + 70 \, a b^{5} c^{4} d^{3} + 175 \, a^{2} b^{4} c^{3} d^{4} + 140 \, a^{3} b^{3} c^{2} d^{5} + 35 \, a^{4} b^{2} c d^{6} + 2 \, a^{5} b d^{7}\right )} x^{9} + \frac {1}{8} \, {\left (7 \, b^{6} c^{6} d + 126 \, a b^{5} c^{5} d^{2} + 525 \, a^{2} b^{4} c^{4} d^{3} + 700 \, a^{3} b^{3} c^{3} d^{4} + 315 \, a^{4} b^{2} c^{2} d^{5} + 42 \, a^{5} b c d^{6} + a^{6} d^{7}\right )} x^{8} + \frac {1}{7} \, {\left (b^{6} c^{7} + 42 \, a b^{5} c^{6} d + 315 \, a^{2} b^{4} c^{5} d^{2} + 700 \, a^{3} b^{3} c^{4} d^{3} + 525 \, a^{4} b^{2} c^{3} d^{4} + 126 \, a^{5} b c^{2} d^{5} + 7 \, a^{6} c d^{6}\right )} x^{7} + \frac {1}{2} \, {\left (2 \, a b^{5} c^{7} + 35 \, a^{2} b^{4} c^{6} d + 140 \, a^{3} b^{3} c^{5} d^{2} + 175 \, a^{4} b^{2} c^{4} d^{3} + 70 \, a^{5} b c^{3} d^{4} + 7 \, a^{6} c^{2} d^{5}\right )} x^{6} + {\left (3 \, a^{2} b^{4} c^{7} + 28 \, a^{3} b^{3} c^{6} d + 63 \, a^{4} b^{2} c^{5} d^{2} + 42 \, a^{5} b c^{4} d^{3} + 7 \, a^{6} c^{3} d^{4}\right )} x^{5} + \frac {1}{4} \, {\left (20 \, a^{3} b^{3} c^{7} + 105 \, a^{4} b^{2} c^{6} d + 126 \, a^{5} b c^{5} d^{2} + 35 \, a^{6} c^{4} d^{3}\right )} x^{4} + {\left (5 \, a^{4} b^{2} c^{7} + 14 \, a^{5} b c^{6} d + 7 \, a^{6} c^{5} d^{2}\right )} x^{3} + \frac {1}{2} \, {\left (6 \, a^{5} b c^{7} + 7 \, a^{6} c^{6} d\right )} x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] Leaf count of result is larger than twice the leaf count of optimal. 796 vs.
\(2 (158) = 316\).
time = 0.06, size = 796, normalized size = 4.60 \begin {gather*} a^{6} c^{7} x + \frac {b^{6} d^{7} x^{14}}{14} + x^{13} \cdot \left (\frac {6 a b^{5} d^{7}}{13} + \frac {7 b^{6} c d^{6}}{13}\right ) + x^{12} \cdot \left (\frac {5 a^{2} b^{4} d^{7}}{4} + \frac {7 a b^{5} c d^{6}}{2} + \frac {7 b^{6} c^{2} d^{5}}{4}\right ) + x^{11} \cdot \left (\frac {20 a^{3} b^{3} d^{7}}{11} + \frac {105 a^{2} b^{4} c d^{6}}{11} + \frac {126 a b^{5} c^{2} d^{5}}{11} + \frac {35 b^{6} c^{3} d^{4}}{11}\right ) + x^{10} \cdot \left (\frac {3 a^{4} b^{2} d^{7}}{2} + 14 a^{3} b^{3} c d^{6} + \frac {63 a^{2} b^{4} c^{2} d^{5}}{2} + 21 a b^{5} c^{3} d^{4} + \frac {7 b^{6} c^{4} d^{3}}{2}\right ) + x^{9} \cdot \left (\frac {2 a^{5} b d^{7}}{3} + \frac {35 a^{4} b^{2} c d^{6}}{3} + \frac {140 a^{3} b^{3} c^{2} d^{5}}{3} + \frac {175 a^{2} b^{4} c^{3} d^{4}}{3} + \frac {70 a b^{5} c^{4} d^{3}}{3} + \frac {7 b^{6} c^{5} d^{2}}{3}\right ) + x^{8} \left (\frac {a^{6} d^{7}}{8} + \frac {21 a^{5} b c d^{6}}{4} + \frac {315 a^{4} b^{2} c^{2} d^{5}}{8} + \frac {175 a^{3} b^{3} c^{3} d^{4}}{2} + \frac {525 a^{2} b^{4} c^{4} d^{3}}{8} + \frac {63 a b^{5} c^{5} d^{2}}{4} + \frac {7 b^{6} c^{6} d}{8}\right ) + x^{7} \left (a^{6} c d^{6} + 18 a^{5} b c^{2} d^{5} + 75 a^{4} b^{2} c^{3} d^{4} + 100 a^{3} b^{3} c^{4} d^{3} + 45 a^{2} b^{4} c^{5} d^{2} + 6 a b^{5} c^{6} d + \frac {b^{6} c^{7}}{7}\right ) + x^{6} \cdot \left (\frac {7 a^{6} c^{2} d^{5}}{2} + 35 a^{5} b c^{3} d^{4} + \frac {175 a^{4} b^{2} c^{4} d^{3}}{2} + 70 a^{3} b^{3} c^{5} d^{2} + \frac {35 a^{2} b^{4} c^{6} d}{2} + a b^{5} c^{7}\right ) + x^{5} \cdot \left (7 a^{6} c^{3} d^{4} + 42 a^{5} b c^{4} d^{3} + 63 a^{4} b^{2} c^{5} d^{2} + 28 a^{3} b^{3} c^{6} d + 3 a^{2} b^{4} c^{7}\right ) + x^{4} \cdot \left (\frac {35 a^{6} c^{4} d^{3}}{4} + \frac {63 a^{5} b c^{5} d^{2}}{2} + \frac {105 a^{4} b^{2} c^{6} d}{4} + 5 a^{3} b^{3} c^{7}\right ) + x^{3} \cdot \left (7 a^{6} c^{5} d^{2} + 14 a^{5} b c^{6} d + 5 a^{4} b^{2} c^{7}\right ) + x^{2} \cdot \left (\frac {7 a^{6} c^{6} d}{2} + 3 a^{5} b c^{7}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [B] Leaf count of result is larger than twice the leaf count of optimal. 798 vs.
\(2 (159) = 318\).
time = 0.64, size = 798, normalized size = 4.61 \begin {gather*} \frac {1}{14} \, b^{6} d^{7} x^{14} + \frac {7}{13} \, b^{6} c d^{6} x^{13} + \frac {6}{13} \, a b^{5} d^{7} x^{13} + \frac {7}{4} \, b^{6} c^{2} d^{5} x^{12} + \frac {7}{2} \, a b^{5} c d^{6} x^{12} + \frac {5}{4} \, a^{2} b^{4} d^{7} x^{12} + \frac {35}{11} \, b^{6} c^{3} d^{4} x^{11} + \frac {126}{11} \, a b^{5} c^{2} d^{5} x^{11} + \frac {105}{11} \, a^{2} b^{4} c d^{6} x^{11} + \frac {20}{11} \, a^{3} b^{3} d^{7} x^{11} + \frac {7}{2} \, b^{6} c^{4} d^{3} x^{10} + 21 \, a b^{5} c^{3} d^{4} x^{10} + \frac {63}{2} \, a^{2} b^{4} c^{2} d^{5} x^{10} + 14 \, a^{3} b^{3} c d^{6} x^{10} + \frac {3}{2} \, a^{4} b^{2} d^{7} x^{10} + \frac {7}{3} \, b^{6} c^{5} d^{2} x^{9} + \frac {70}{3} \, a b^{5} c^{4} d^{3} x^{9} + \frac {175}{3} \, a^{2} b^{4} c^{3} d^{4} x^{9} + \frac {140}{3} \, a^{3} b^{3} c^{2} d^{5} x^{9} + \frac {35}{3} \, a^{4} b^{2} c d^{6} x^{9} + \frac {2}{3} \, a^{5} b d^{7} x^{9} + \frac {7}{8} \, b^{6} c^{6} d x^{8} + \frac {63}{4} \, a b^{5} c^{5} d^{2} x^{8} + \frac {525}{8} \, a^{2} b^{4} c^{4} d^{3} x^{8} + \frac {175}{2} \, a^{3} b^{3} c^{3} d^{4} x^{8} + \frac {315}{8} \, a^{4} b^{2} c^{2} d^{5} x^{8} + \frac {21}{4} \, a^{5} b c d^{6} x^{8} + \frac {1}{8} \, a^{6} d^{7} x^{8} + \frac {1}{7} \, b^{6} c^{7} x^{7} + 6 \, a b^{5} c^{6} d x^{7} + 45 \, a^{2} b^{4} c^{5} d^{2} x^{7} + 100 \, a^{3} b^{3} c^{4} d^{3} x^{7} + 75 \, a^{4} b^{2} c^{3} d^{4} x^{7} + 18 \, a^{5} b c^{2} d^{5} x^{7} + a^{6} c d^{6} x^{7} + a b^{5} c^{7} x^{6} + \frac {35}{2} \, a^{2} b^{4} c^{6} d x^{6} + 70 \, a^{3} b^{3} c^{5} d^{2} x^{6} + \frac {175}{2} \, a^{4} b^{2} c^{4} d^{3} x^{6} + 35 \, a^{5} b c^{3} d^{4} x^{6} + \frac {7}{2} \, a^{6} c^{2} d^{5} x^{6} + 3 \, a^{2} b^{4} c^{7} x^{5} + 28 \, a^{3} b^{3} c^{6} d x^{5} + 63 \, a^{4} b^{2} c^{5} d^{2} x^{5} + 42 \, a^{5} b c^{4} d^{3} x^{5} + 7 \, a^{6} c^{3} d^{4} x^{5} + 5 \, a^{3} b^{3} c^{7} x^{4} + \frac {105}{4} \, a^{4} b^{2} c^{6} d x^{4} + \frac {63}{2} \, a^{5} b c^{5} d^{2} x^{4} + \frac {35}{4} \, a^{6} c^{4} d^{3} x^{4} + 5 \, a^{4} b^{2} c^{7} x^{3} + 14 \, a^{5} b c^{6} d x^{3} + 7 \, a^{6} c^{5} d^{2} x^{3} + 3 \, a^{5} b c^{7} x^{2} + \frac {7}{2} \, a^{6} c^{6} d x^{2} + a^{6} c^{7} x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.26, size = 683, normalized size = 3.95 \begin {gather*} x^5\,\left (7\,a^6\,c^3\,d^4+42\,a^5\,b\,c^4\,d^3+63\,a^4\,b^2\,c^5\,d^2+28\,a^3\,b^3\,c^6\,d+3\,a^2\,b^4\,c^7\right )+x^{10}\,\left (\frac {3\,a^4\,b^2\,d^7}{2}+14\,a^3\,b^3\,c\,d^6+\frac {63\,a^2\,b^4\,c^2\,d^5}{2}+21\,a\,b^5\,c^3\,d^4+\frac {7\,b^6\,c^4\,d^3}{2}\right )+x^6\,\left (\frac {7\,a^6\,c^2\,d^5}{2}+35\,a^5\,b\,c^3\,d^4+\frac {175\,a^4\,b^2\,c^4\,d^3}{2}+70\,a^3\,b^3\,c^5\,d^2+\frac {35\,a^2\,b^4\,c^6\,d}{2}+a\,b^5\,c^7\right )+x^9\,\left (\frac {2\,a^5\,b\,d^7}{3}+\frac {35\,a^4\,b^2\,c\,d^6}{3}+\frac {140\,a^3\,b^3\,c^2\,d^5}{3}+\frac {175\,a^2\,b^4\,c^3\,d^4}{3}+\frac {70\,a\,b^5\,c^4\,d^3}{3}+\frac {7\,b^6\,c^5\,d^2}{3}\right )+x^7\,\left (a^6\,c\,d^6+18\,a^5\,b\,c^2\,d^5+75\,a^4\,b^2\,c^3\,d^4+100\,a^3\,b^3\,c^4\,d^3+45\,a^2\,b^4\,c^5\,d^2+6\,a\,b^5\,c^6\,d+\frac {b^6\,c^7}{7}\right )+x^8\,\left (\frac {a^6\,d^7}{8}+\frac {21\,a^5\,b\,c\,d^6}{4}+\frac {315\,a^4\,b^2\,c^2\,d^5}{8}+\frac {175\,a^3\,b^3\,c^3\,d^4}{2}+\frac {525\,a^2\,b^4\,c^4\,d^3}{8}+\frac {63\,a\,b^5\,c^5\,d^2}{4}+\frac {7\,b^6\,c^6\,d}{8}\right )+x^4\,\left (\frac {35\,a^6\,c^4\,d^3}{4}+\frac {63\,a^5\,b\,c^5\,d^2}{2}+\frac {105\,a^4\,b^2\,c^6\,d}{4}+5\,a^3\,b^3\,c^7\right )+x^{11}\,\left (\frac {20\,a^3\,b^3\,d^7}{11}+\frac {105\,a^2\,b^4\,c\,d^6}{11}+\frac {126\,a\,b^5\,c^2\,d^5}{11}+\frac {35\,b^6\,c^3\,d^4}{11}\right )+a^6\,c^7\,x+\frac {b^6\,d^7\,x^{14}}{14}+\frac {a^5\,c^6\,x^2\,\left (7\,a\,d+6\,b\,c\right )}{2}+\frac {b^5\,d^6\,x^{13}\,\left (6\,a\,d+7\,b\,c\right )}{13}+a^4\,c^5\,x^3\,\left (7\,a^2\,d^2+14\,a\,b\,c\,d+5\,b^2\,c^2\right )+\frac {b^4\,d^5\,x^{12}\,\left (5\,a^2\,d^2+14\,a\,b\,c\,d+7\,b^2\,c^2\right )}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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