Optimal. Leaf size=18 \[ 5+\frac {3 x}{2}+\frac {29 x^2}{25}-\log (2) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 11, normalized size of antiderivative = 0.61, number of steps
used = 1, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {9}
\begin {gather*} \frac {(116 x+75)^2}{11600} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {(75+116 x)^2}{11600}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 13, normalized size = 0.72 \begin {gather*} \frac {3 x}{2}+\frac {29 x^2}{25} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.12, size = 10, normalized size = 0.56
method | result | size |
gosper | \(\frac {x \left (58 x +75\right )}{50}\) | \(9\) |
default | \(\frac {29}{25} x^{2}+\frac {3}{2} x\) | \(10\) |
norman | \(\frac {29}{25} x^{2}+\frac {3}{2} x\) | \(10\) |
risch | \(\frac {29}{25} x^{2}+\frac {3}{2} x\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.26, size = 9, normalized size = 0.50 \begin {gather*} \frac {29}{25} \, x^{2} + \frac {3}{2} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.34, size = 9, normalized size = 0.50 \begin {gather*} \frac {29}{25} \, x^{2} + \frac {3}{2} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.01, size = 10, normalized size = 0.56 \begin {gather*} \frac {29 x^{2}}{25} + \frac {3 x}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.44, size = 9, normalized size = 0.50 \begin {gather*} \frac {29}{25} \, x^{2} + \frac {3}{2} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.03, size = 8, normalized size = 0.44 \begin {gather*} \frac {x\,\left (58\,x+75\right )}{50} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________