Integrand size = 3, antiderivative size = 7 \[ \int x^2 \, dx=\frac {x^3}{3} \]
[Out]
Time = 0.00 (sec) , antiderivative size = 7, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {30} \[ \int x^2 \, dx=\frac {x^3}{3} \]
[In]
[Out]
Rule 30
Rubi steps \begin{align*} \text {integral}& = \frac {x^3}{3} \\ \end{align*}
Time = 0.00 (sec) , antiderivative size = 7, normalized size of antiderivative = 1.00 \[ \int x^2 \, dx=\frac {x^3}{3} \]
[In]
[Out]
Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.86
method | result | size |
gosper | \(\frac {x^{3}}{3}\) | \(6\) |
default | \(\frac {x^{3}}{3}\) | \(6\) |
norman | \(\frac {x^{3}}{3}\) | \(6\) |
risch | \(\frac {x^{3}}{3}\) | \(6\) |
parallelrisch | \(\frac {x^{3}}{3}\) | \(6\) |
[In]
[Out]
none
Time = 0.22 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.71 \[ \int x^2 \, dx=\frac {1}{3} \, x^{3} \]
[In]
[Out]
Time = 0.03 (sec) , antiderivative size = 3, normalized size of antiderivative = 0.43 \[ \int x^2 \, dx=\frac {x^{3}}{3} \]
[In]
[Out]
none
Time = 0.21 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.71 \[ \int x^2 \, dx=\frac {1}{3} \, x^{3} \]
[In]
[Out]
none
Time = 0.30 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.71 \[ \int x^2 \, dx=\frac {1}{3} \, x^{3} \]
[In]
[Out]
Time = 0.01 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.71 \[ \int x^2 \, dx=\frac {x^3}{3} \]
[In]
[Out]