Optimal. Leaf size=37 \[ -\frac {225 x^4}{8}-\frac {455 x^3}{4}-\frac {3529 x^2}{16}-\frac {5353 x}{16}-\frac {5929}{32} \log (1-2 x) \]
________________________________________________________________________________________
Rubi [A] time = 0.02, antiderivative size = 37, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.045, Rules used = {88} \begin {gather*} -\frac {225 x^4}{8}-\frac {455 x^3}{4}-\frac {3529 x^2}{16}-\frac {5353 x}{16}-\frac {5929}{32} \log (1-2 x) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 88
Rubi steps
\begin {align*} \int \frac {(2+3 x)^2 (3+5 x)^2}{1-2 x} \, dx &=\int \left (-\frac {5353}{16}-\frac {3529 x}{8}-\frac {1365 x^2}{4}-\frac {225 x^3}{2}-\frac {5929}{16 (-1+2 x)}\right ) \, dx\\ &=-\frac {5353 x}{16}-\frac {3529 x^2}{16}-\frac {455 x^3}{4}-\frac {225 x^4}{8}-\frac {5929}{32} \log (1-2 x)\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.01, size = 32, normalized size = 0.86 \begin {gather*} \frac {1}{128} \left (-3600 x^4-14560 x^3-28232 x^2-42824 x-23716 \log (1-2 x)+30515\right ) \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {(2+3 x)^2 (3+5 x)^2}{1-2 x} \, dx \end {gather*}
Verification is not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 1.49, size = 27, normalized size = 0.73 \begin {gather*} -\frac {225}{8} \, x^{4} - \frac {455}{4} \, x^{3} - \frac {3529}{16} \, x^{2} - \frac {5353}{16} \, x - \frac {5929}{32} \, \log \left (2 \, x - 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.94, size = 28, normalized size = 0.76 \begin {gather*} -\frac {225}{8} \, x^{4} - \frac {455}{4} \, x^{3} - \frac {3529}{16} \, x^{2} - \frac {5353}{16} \, x - \frac {5929}{32} \, \log \left ({\left | 2 \, x - 1 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 28, normalized size = 0.76 \begin {gather*} -\frac {225 x^{4}}{8}-\frac {455 x^{3}}{4}-\frac {3529 x^{2}}{16}-\frac {5353 x}{16}-\frac {5929 \ln \left (2 x -1\right )}{32} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.63, size = 27, normalized size = 0.73 \begin {gather*} -\frac {225}{8} \, x^{4} - \frac {455}{4} \, x^{3} - \frac {3529}{16} \, x^{2} - \frac {5353}{16} \, x - \frac {5929}{32} \, \log \left (2 \, x - 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.02, size = 25, normalized size = 0.68 \begin {gather*} -\frac {5353\,x}{16}-\frac {5929\,\ln \left (x-\frac {1}{2}\right )}{32}-\frac {3529\,x^2}{16}-\frac {455\,x^3}{4}-\frac {225\,x^4}{8} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.10, size = 36, normalized size = 0.97 \begin {gather*} - \frac {225 x^{4}}{8} - \frac {455 x^{3}}{4} - \frac {3529 x^{2}}{16} - \frac {5353 x}{16} - \frac {5929 \log {\left (2 x - 1 \right )}}{32} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________