Optimal. Leaf size=22 \[ \frac {-4+x}{x}+\frac {-2+2 x+e^9 x}{x} \]
________________________________________________________________________________________
Rubi [A] time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.23, number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 30} \begin {gather*} -\frac {6}{x} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
Rule 12
Rule 30
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=6 \int \frac {1}{x^2} \, dx\\ &=-\frac {6}{x}\\ \end {aligned} \end {gather*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 5, normalized size = 0.23 \begin {gather*} -\frac {6}{x} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.66, size = 5, normalized size = 0.23 \begin {gather*} -\frac {6}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.15, size = 5, normalized size = 0.23 \begin {gather*} -\frac {6}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.02, size = 6, normalized size = 0.27
method | result | size |
gosper | \(-\frac {6}{x}\) | \(6\) |
default | \(-\frac {6}{x}\) | \(6\) |
norman | \(-\frac {6}{x}\) | \(6\) |
risch | \(-\frac {6}{x}\) | \(6\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.36, size = 5, normalized size = 0.23 \begin {gather*} -\frac {6}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.01, size = 5, normalized size = 0.23 \begin {gather*} -\frac {6}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.05, size = 3, normalized size = 0.14 \begin {gather*} - \frac {6}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________