Optimal. Leaf size=16 \[ 2-i \pi -x^2-\log (15) \]
[Out]
________________________________________________________________________________________
Rubi [A]
time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.31, number of steps
used = 2, number of rules used = 2, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.667, Rules used = {12, 30}
\begin {gather*} -x^2 \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-(2 \int x \, dx)\\ &=-x^2\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A]
time = 0.00, size = 5, normalized size = 0.31 \begin {gather*} -x^2 \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.00, size = 6, normalized size = 0.38
method | result | size |
gosper | \(-x^{2}\) | \(6\) |
default | \(-x^{2}\) | \(6\) |
norman | \(-x^{2}\) | \(6\) |
risch | \(-x^{2}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.27, size = 5, normalized size = 0.31 \begin {gather*} -x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.38, size = 5, normalized size = 0.31 \begin {gather*} -x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.01, size = 3, normalized size = 0.19 \begin {gather*} - x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 0.41, size = 5, normalized size = 0.31 \begin {gather*} -x^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Mupad [B]
time = 0.03, size = 5, normalized size = 0.31 \begin {gather*} -x^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________