Optimal. Leaf size=255 \[ -\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{195 e (b d-a e)^2 (d+e x)^{13/2}}+\frac {4 b (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{715 e (b d-a e)^3 (d+e x)^{11/2}}+\frac {16 b^2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{6435 e (b d-a e)^4 (d+e x)^{9/2}}+\frac {32 b^3 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{45045 e (b d-a e)^5 (d+e x)^{7/2}} \]
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Rubi [A]
time = 0.11, antiderivative size = 255, normalized size of antiderivative = 1.00, number of steps
used = 5, number of rules used = 3, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.125, Rules used = {79, 47, 37}
\begin {gather*} \frac {32 b^3 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{45045 e (d+e x)^{7/2} (b d-a e)^5}+\frac {16 b^2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{6435 e (d+e x)^{9/2} (b d-a e)^4}+\frac {4 b (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{715 e (d+e x)^{11/2} (b d-a e)^3}+\frac {2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{195 e (d+e x)^{13/2} (b d-a e)^2}-\frac {2 (a+b x)^{7/2} (B d-A e)}{15 e (d+e x)^{15/2} (b d-a e)} \end {gather*}
Antiderivative was successfully verified.
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Rule 37
Rule 47
Rule 79
Rubi steps
\begin {align*} \int \frac {(a+b x)^{5/2} (A+B x)}{(d+e x)^{17/2}} \, dx &=-\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {(7 b B d+8 A b e-15 a B e) \int \frac {(a+b x)^{5/2}}{(d+e x)^{15/2}} \, dx}{15 e (b d-a e)}\\ &=-\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{195 e (b d-a e)^2 (d+e x)^{13/2}}+\frac {(2 b (7 b B d+8 A b e-15 a B e)) \int \frac {(a+b x)^{5/2}}{(d+e x)^{13/2}} \, dx}{65 e (b d-a e)^2}\\ &=-\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{195 e (b d-a e)^2 (d+e x)^{13/2}}+\frac {4 b (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{715 e (b d-a e)^3 (d+e x)^{11/2}}+\frac {\left (8 b^2 (7 b B d+8 A b e-15 a B e)\right ) \int \frac {(a+b x)^{5/2}}{(d+e x)^{11/2}} \, dx}{715 e (b d-a e)^3}\\ &=-\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{195 e (b d-a e)^2 (d+e x)^{13/2}}+\frac {4 b (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{715 e (b d-a e)^3 (d+e x)^{11/2}}+\frac {16 b^2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{6435 e (b d-a e)^4 (d+e x)^{9/2}}+\frac {\left (16 b^3 (7 b B d+8 A b e-15 a B e)\right ) \int \frac {(a+b x)^{5/2}}{(d+e x)^{9/2}} \, dx}{6435 e (b d-a e)^4}\\ &=-\frac {2 (B d-A e) (a+b x)^{7/2}}{15 e (b d-a e) (d+e x)^{15/2}}+\frac {2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{195 e (b d-a e)^2 (d+e x)^{13/2}}+\frac {4 b (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{715 e (b d-a e)^3 (d+e x)^{11/2}}+\frac {16 b^2 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{6435 e (b d-a e)^4 (d+e x)^{9/2}}+\frac {32 b^3 (7 b B d+8 A b e-15 a B e) (a+b x)^{7/2}}{45045 e (b d-a e)^5 (d+e x)^{7/2}}\\ \end {align*}
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Mathematica [A]
time = 0.49, size = 270, normalized size = 1.06 \begin {gather*} \frac {2 (a+b x)^{7/2} \left (-3003 B d e^3 (a+b x)^4+3003 A e^4 (a+b x)^4+10395 b B d e^2 (a+b x)^3 (d+e x)-13860 A b e^3 (a+b x)^3 (d+e x)+3465 a B e^3 (a+b x)^3 (d+e x)-12285 b^2 B d e (a+b x)^2 (d+e x)^2+24570 A b^2 e^2 (a+b x)^2 (d+e x)^2-12285 a b B e^2 (a+b x)^2 (d+e x)^2+5005 b^3 B d (a+b x) (d+e x)^3-20020 A b^3 e (a+b x) (d+e x)^3+15015 a b^2 B e (a+b x) (d+e x)^3+6435 A b^4 (d+e x)^4-6435 a b^3 B (d+e x)^4\right )}{45045 (b d-a e)^5 (d+e x)^{15/2}} \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. \(764\) vs.
\(2(225)=450\).
time = 0.09, size = 765, normalized size = 3.00
method | result | size |
gosper | \(-\frac {2 \left (b x +a \right )^{\frac {7}{2}} \left (128 A \,b^{4} e^{4} x^{4}-240 B a \,b^{3} e^{4} x^{4}+112 B \,b^{4} d \,e^{3} x^{4}-448 A a \,b^{3} e^{4} x^{3}+960 A \,b^{4} d \,e^{3} x^{3}+840 B \,a^{2} b^{2} e^{4} x^{3}-2192 B a \,b^{3} d \,e^{3} x^{3}+840 B \,b^{4} d^{2} e^{2} x^{3}+1008 A \,a^{2} b^{2} e^{4} x^{2}-3360 A a \,b^{3} d \,e^{3} x^{2}+3120 A \,b^{4} d^{2} e^{2} x^{2}-1890 B \,a^{3} b \,e^{4} x^{2}+7182 B \,a^{2} b^{2} d \,e^{3} x^{2}-8790 B a \,b^{3} d^{2} e^{2} x^{2}+2730 B \,b^{4} d^{3} e \,x^{2}-1848 A \,a^{3} b \,e^{4} x +7560 A \,a^{2} b^{2} d \,e^{3} x -10920 A a \,b^{3} d^{2} e^{2} x +5720 A \,b^{4} d^{3} e x +3465 B \,a^{4} e^{4} x -15792 B \,a^{3} b d \,e^{3} x +27090 B \,a^{2} b^{2} d^{2} e^{2} x -20280 B a \,b^{3} d^{3} e x +5005 B \,b^{4} d^{4} x +3003 A \,a^{4} e^{4}-13860 A \,a^{3} b d \,e^{3}+24570 A \,a^{2} b^{2} d^{2} e^{2}-20020 A a \,b^{3} d^{3} e +6435 A \,b^{4} d^{4}+462 B \,a^{4} d \,e^{3}-1890 B \,a^{3} b \,d^{2} e^{2}+2730 B \,a^{2} b^{2} d^{3} e -1430 B a \,b^{3} d^{4}\right )}{45045 \left (e x +d \right )^{\frac {15}{2}} \left (a^{5} e^{5}-5 a^{4} b d \,e^{4}+10 a^{3} b^{2} d^{2} e^{3}-10 a^{2} b^{3} d^{3} e^{2}+5 a \,b^{4} d^{4} e -b^{5} d^{5}\right )}\) | \(505\) |
default | \(-\frac {2 \left (128 A \,b^{6} e^{4} x^{6}-240 B a \,b^{5} e^{4} x^{6}+112 B \,b^{6} d \,e^{3} x^{6}-192 A a \,b^{5} e^{4} x^{5}+960 A \,b^{6} d \,e^{3} x^{5}+360 B \,a^{2} b^{4} e^{4} x^{5}-1968 B a \,b^{5} d \,e^{3} x^{5}+840 B \,b^{6} d^{2} e^{2} x^{5}+240 A \,a^{2} b^{4} e^{4} x^{4}-1440 A a \,b^{5} d \,e^{3} x^{4}+3120 A \,b^{6} d^{2} e^{2} x^{4}-450 B \,a^{3} b^{3} e^{4} x^{4}+2910 B \,a^{2} b^{4} d \,e^{3} x^{4}-7110 B a \,b^{5} d^{2} e^{2} x^{4}+2730 B \,b^{6} d^{3} e \,x^{4}-280 A \,a^{3} b^{3} e^{4} x^{3}+1800 A \,a^{2} b^{4} d \,e^{3} x^{3}-4680 A a \,b^{5} d^{2} e^{2} x^{3}+5720 A \,b^{6} d^{3} e \,x^{3}+525 B \,a^{4} b^{2} e^{4} x^{3}-3620 B \,a^{3} b^{3} d \,e^{3} x^{3}+10350 B \,a^{2} b^{4} d^{2} e^{2} x^{3}-14820 B a \,b^{5} d^{3} e \,x^{3}+5005 B \,b^{6} d^{4} x^{3}+315 A \,a^{4} b^{2} e^{4} x^{2}-2100 A \,a^{3} b^{3} d \,e^{3} x^{2}+5850 A \,a^{2} b^{4} d^{2} e^{2} x^{2}-8580 A a \,b^{5} d^{3} e \,x^{2}+6435 A \,b^{6} d^{4} x^{2}+5040 B \,a^{5} b \,e^{4} x^{2}-23940 B \,a^{4} b^{2} d \,e^{3} x^{2}+43500 B \,a^{3} b^{3} d^{2} e^{2} x^{2}-35100 B \,a^{2} b^{4} d^{3} e \,x^{2}+8580 B a \,b^{5} d^{4} x^{2}+4158 A \,a^{5} b \,e^{4} x -20160 A \,a^{4} b^{2} d \,e^{3} x +38220 A \,a^{3} b^{3} d^{2} e^{2} x -34320 A \,a^{2} b^{4} d^{3} e x +12870 A a \,b^{5} d^{4} x +3465 B \,a^{6} e^{4} x -14868 B \,a^{5} b d \,e^{3} x +23310 B \,a^{4} b^{2} d^{2} e^{2} x -14820 B \,a^{3} b^{3} d^{3} e x +2145 B \,a^{2} b^{4} d^{4} x +3003 a^{6} A \,e^{4}-13860 A \,a^{5} b d \,e^{3}+24570 A \,a^{4} b^{2} d^{2} e^{2}-20020 A \,a^{3} b^{3} d^{3} e +6435 A \,a^{2} b^{4} d^{4}+462 B \,a^{6} d \,e^{3}-1890 B \,a^{5} b \,d^{2} e^{2}+2730 B \,a^{4} b^{2} d^{3} e -1430 B \,a^{3} b^{3} d^{4}\right ) \left (b x +a \right )^{\frac {3}{2}}}{45045 \left (e x +d \right )^{\frac {15}{2}} \left (a e -b d \right )^{5}}\) | \(765\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: ValueError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-1)] Timed out
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: SystemError} \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. 1321 vs.
\(2 (239) = 478\).
time = 3.16, size = 1321, normalized size = 5.18 \begin {gather*} \frac {2 \, {\left ({\left (2 \, {\left (4 \, {\left (b x + a\right )} {\left (\frac {2 \, {\left (7 \, B b^{18} d^{3} {\left | b \right |} e^{10} - 29 \, B a b^{17} d^{2} {\left | b \right |} e^{11} + 8 \, A b^{18} d^{2} {\left | b \right |} e^{11} + 37 \, B a^{2} b^{16} d {\left | b \right |} e^{12} - 16 \, A a b^{17} d {\left | b \right |} e^{12} - 15 \, B a^{3} b^{15} {\left | b \right |} e^{13} + 8 \, A a^{2} b^{16} {\left | b \right |} e^{13}\right )} {\left (b x + a\right )}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}} + \frac {15 \, {\left (7 \, B b^{19} d^{4} {\left | b \right |} e^{9} - 36 \, B a b^{18} d^{3} {\left | b \right |} e^{10} + 8 \, A b^{19} d^{3} {\left | b \right |} e^{10} + 66 \, B a^{2} b^{17} d^{2} {\left | b \right |} e^{11} - 24 \, A a b^{18} d^{2} {\left | b \right |} e^{11} - 52 \, B a^{3} b^{16} d {\left | b \right |} e^{12} + 24 \, A a^{2} b^{17} d {\left | b \right |} e^{12} + 15 \, B a^{4} b^{15} {\left | b \right |} e^{13} - 8 \, A a^{3} b^{16} {\left | b \right |} e^{13}\right )}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right )} + \frac {195 \, {\left (7 \, B b^{20} d^{5} {\left | b \right |} e^{8} - 43 \, B a b^{19} d^{4} {\left | b \right |} e^{9} + 8 \, A b^{20} d^{4} {\left | b \right |} e^{9} + 102 \, B a^{2} b^{18} d^{3} {\left | b \right |} e^{10} - 32 \, A a b^{19} d^{3} {\left | b \right |} e^{10} - 118 \, B a^{3} b^{17} d^{2} {\left | b \right |} e^{11} + 48 \, A a^{2} b^{18} d^{2} {\left | b \right |} e^{11} + 67 \, B a^{4} b^{16} d {\left | b \right |} e^{12} - 32 \, A a^{3} b^{17} d {\left | b \right |} e^{12} - 15 \, B a^{5} b^{15} {\left | b \right |} e^{13} + 8 \, A a^{4} b^{16} {\left | b \right |} e^{13}\right )}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right )} {\left (b x + a\right )} + \frac {715 \, {\left (7 \, B b^{21} d^{6} {\left | b \right |} e^{7} - 50 \, B a b^{20} d^{5} {\left | b \right |} e^{8} + 8 \, A b^{21} d^{5} {\left | b \right |} e^{8} + 145 \, B a^{2} b^{19} d^{4} {\left | b \right |} e^{9} - 40 \, A a b^{20} d^{4} {\left | b \right |} e^{9} - 220 \, B a^{3} b^{18} d^{3} {\left | b \right |} e^{10} + 80 \, A a^{2} b^{19} d^{3} {\left | b \right |} e^{10} + 185 \, B a^{4} b^{17} d^{2} {\left | b \right |} e^{11} - 80 \, A a^{3} b^{18} d^{2} {\left | b \right |} e^{11} - 82 \, B a^{5} b^{16} d {\left | b \right |} e^{12} + 40 \, A a^{4} b^{17} d {\left | b \right |} e^{12} + 15 \, B a^{6} b^{15} {\left | b \right |} e^{13} - 8 \, A a^{5} b^{16} {\left | b \right |} e^{13}\right )}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right )} {\left (b x + a\right )} - \frac {6435 \, {\left (B a b^{21} d^{6} {\left | b \right |} e^{7} - A b^{22} d^{6} {\left | b \right |} e^{7} - 6 \, B a^{2} b^{20} d^{5} {\left | b \right |} e^{8} + 6 \, A a b^{21} d^{5} {\left | b \right |} e^{8} + 15 \, B a^{3} b^{19} d^{4} {\left | b \right |} e^{9} - 15 \, A a^{2} b^{20} d^{4} {\left | b \right |} e^{9} - 20 \, B a^{4} b^{18} d^{3} {\left | b \right |} e^{10} + 20 \, A a^{3} b^{19} d^{3} {\left | b \right |} e^{10} + 15 \, B a^{5} b^{17} d^{2} {\left | b \right |} e^{11} - 15 \, A a^{4} b^{18} d^{2} {\left | b \right |} e^{11} - 6 \, B a^{6} b^{16} d {\left | b \right |} e^{12} + 6 \, A a^{5} b^{17} d {\left | b \right |} e^{12} + B a^{7} b^{15} {\left | b \right |} e^{13} - A a^{6} b^{16} {\left | b \right |} e^{13}\right )}}{b^{9} d^{7} e^{7} - 7 \, a b^{8} d^{6} e^{8} + 21 \, a^{2} b^{7} d^{5} e^{9} - 35 \, a^{3} b^{6} d^{4} e^{10} + 35 \, a^{4} b^{5} d^{3} e^{11} - 21 \, a^{5} b^{4} d^{2} e^{12} + 7 \, a^{6} b^{3} d e^{13} - a^{7} b^{2} e^{14}}\right )} {\left (b x + a\right )}^{\frac {7}{2}}}{45045 \, {\left (b^{2} d + {\left (b x + a\right )} b e - a b e\right )}^{\frac {15}{2}}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 3.60, size = 917, normalized size = 3.60 \begin {gather*} -\frac {\sqrt {d+e\,x}\,\left (\frac {\sqrt {a+b\,x}\,\left (924\,B\,a^7\,d\,e^3+6006\,A\,a^7\,e^4-3780\,B\,a^6\,b\,d^2\,e^2-27720\,A\,a^6\,b\,d\,e^3+5460\,B\,a^5\,b^2\,d^3\,e+49140\,A\,a^5\,b^2\,d^2\,e^2-2860\,B\,a^4\,b^3\,d^4-40040\,A\,a^4\,b^3\,d^3\,e+12870\,A\,a^3\,b^4\,d^4\right )}{45045\,e^8\,{\left (a\,e-b\,d\right )}^5}+\frac {x^2\,\sqrt {a+b\,x}\,\left (17010\,B\,a^6\,b\,e^4-77616\,B\,a^5\,b^2\,d\,e^3+8946\,A\,a^5\,b^2\,e^4+133620\,B\,a^4\,b^3\,d^2\,e^2-44520\,A\,a^4\,b^3\,d\,e^3-99840\,B\,a^3\,b^4\,d^3\,e+88140\,A\,a^3\,b^4\,d^2\,e^2+21450\,B\,a^2\,b^5\,d^4-85800\,A\,a^2\,b^5\,d^3\,e+38610\,A\,a\,b^6\,d^4\right )}{45045\,e^8\,{\left (a\,e-b\,d\right )}^5}+\frac {x^3\,\sqrt {a+b\,x}\,\left (11130\,B\,a^5\,b^2\,e^4-55120\,B\,a^4\,b^3\,d\,e^3+70\,A\,a^4\,b^3\,e^4+107700\,B\,a^3\,b^4\,d^2\,e^2-600\,A\,a^3\,b^4\,d\,e^3-99840\,B\,a^2\,b^5\,d^3\,e+2340\,A\,a^2\,b^5\,d^2\,e^2+27170\,B\,a\,b^6\,d^4-5720\,A\,a\,b^6\,d^3\,e+12870\,A\,b^7\,d^4\right )}{45045\,e^8\,{\left (a\,e-b\,d\right )}^5}+\frac {x\,\sqrt {a+b\,x}\,\left (6930\,B\,a^7\,e^4-28812\,B\,a^6\,b\,d\,e^3+14322\,A\,a^6\,b\,e^4+42840\,B\,a^5\,b^2\,d^2\,e^2-68040\,A\,a^5\,b^2\,d\,e^3-24180\,B\,a^4\,b^3\,d^3\,e+125580\,A\,a^4\,b^3\,d^2\,e^2+1430\,B\,a^3\,b^4\,d^4-108680\,A\,a^3\,b^4\,d^3\,e+38610\,A\,a^2\,b^5\,d^4\right )}{45045\,e^8\,{\left (a\,e-b\,d\right )}^5}+\frac {32\,b^6\,x^7\,\sqrt {a+b\,x}\,\left (8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right )}{45045\,e^5\,{\left (a\,e-b\,d\right )}^5}-\frac {2\,b^3\,x^4\,\sqrt {a+b\,x}\,\left (8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right )\,\left (a^3\,e^3-9\,a^2\,b\,d\,e^2+39\,a\,b^2\,d^2\,e-143\,b^3\,d^3\right )}{9009\,e^8\,{\left (a\,e-b\,d\right )}^5}-\frac {16\,b^5\,x^6\,\left (a\,e-15\,b\,d\right )\,\sqrt {a+b\,x}\,\left (8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right )}{45045\,e^6\,{\left (a\,e-b\,d\right )}^5}+\frac {4\,b^4\,x^5\,\sqrt {a+b\,x}\,\left (a^2\,e^2-10\,a\,b\,d\,e+65\,b^2\,d^2\right )\,\left (8\,A\,b\,e-15\,B\,a\,e+7\,B\,b\,d\right )}{15015\,e^7\,{\left (a\,e-b\,d\right )}^5}\right )}{x^8+\frac {d^8}{e^8}+\frac {8\,d\,x^7}{e}+\frac {8\,d^7\,x}{e^7}+\frac {28\,d^2\,x^6}{e^2}+\frac {56\,d^3\,x^5}{e^3}+\frac {70\,d^4\,x^4}{e^4}+\frac {56\,d^5\,x^3}{e^5}+\frac {28\,d^6\,x^2}{e^6}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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