Optimal. Leaf size=42 \[ 24 x+26 x^2-\frac {154 x^3}{3}-\frac {425 x^4}{4}+\frac {99 x^5}{5}+144 x^6+\frac {540 x^7}{7} \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.01, antiderivative size = 42, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {78}
\begin {gather*} \frac {540 x^7}{7}+144 x^6+\frac {99 x^5}{5}-\frac {425 x^4}{4}-\frac {154 x^3}{3}+26 x^2+24 x \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 78
Rubi steps
\begin {align*} \int (1-2 x)^2 (2+3 x)^3 (3+5 x) \, dx &=\int \left (24+52 x-154 x^2-425 x^3+99 x^4+864 x^5+540 x^6\right ) \, dx\\ &=24 x+26 x^2-\frac {154 x^3}{3}-\frac {425 x^4}{4}+\frac {99 x^5}{5}+144 x^6+\frac {540 x^7}{7}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 42, normalized size = 1.00 \begin {gather*} 24 x+26 x^2-\frac {154 x^3}{3}-\frac {425 x^4}{4}+\frac {99 x^5}{5}+144 x^6+\frac {540 x^7}{7} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.09, size = 35, normalized size = 0.83
method | result | size |
gosper | \(\frac {x \left (32400 x^{6}+60480 x^{5}+8316 x^{4}-44625 x^{3}-21560 x^{2}+10920 x +10080\right )}{420}\) | \(34\) |
default | \(24 x +26 x^{2}-\frac {154}{3} x^{3}-\frac {425}{4} x^{4}+\frac {99}{5} x^{5}+144 x^{6}+\frac {540}{7} x^{7}\) | \(35\) |
norman | \(24 x +26 x^{2}-\frac {154}{3} x^{3}-\frac {425}{4} x^{4}+\frac {99}{5} x^{5}+144 x^{6}+\frac {540}{7} x^{7}\) | \(35\) |
risch | \(24 x +26 x^{2}-\frac {154}{3} x^{3}-\frac {425}{4} x^{4}+\frac {99}{5} x^{5}+144 x^{6}+\frac {540}{7} x^{7}\) | \(35\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.32, size = 34, normalized size = 0.81 \begin {gather*} \frac {540}{7} \, x^{7} + 144 \, x^{6} + \frac {99}{5} \, x^{5} - \frac {425}{4} \, x^{4} - \frac {154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 1.35, size = 34, normalized size = 0.81 \begin {gather*} \frac {540}{7} \, x^{7} + 144 \, x^{6} + \frac {99}{5} \, x^{5} - \frac {425}{4} \, x^{4} - \frac {154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.02, size = 39, normalized size = 0.93 \begin {gather*} \frac {540 x^{7}}{7} + 144 x^{6} + \frac {99 x^{5}}{5} - \frac {425 x^{4}}{4} - \frac {154 x^{3}}{3} + 26 x^{2} + 24 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.68, size = 34, normalized size = 0.81 \begin {gather*} \frac {540}{7} \, x^{7} + 144 \, x^{6} + \frac {99}{5} \, x^{5} - \frac {425}{4} \, x^{4} - \frac {154}{3} \, x^{3} + 26 \, x^{2} + 24 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.03, size = 34, normalized size = 0.81 \begin {gather*} \frac {540\,x^7}{7}+144\,x^6+\frac {99\,x^5}{5}-\frac {425\,x^4}{4}-\frac {154\,x^3}{3}+26\,x^2+24\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________