Integrand size = 1, antiderivative size = 3 \[ \int e \, dx=e x \]
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Time = 0.00 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 1.000, Rules used = {8} \[ \int e \, dx=e x \]
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Rule 8
Rubi steps \begin{align*} \text {integral}& = e x \\ \end{align*}
Time = 0.00 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int e \, dx=e x \]
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Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 1.67
method | result | size |
default | \(x \,{\mathrm e}\) | \(5\) |
norman | \(x \,{\mathrm e}\) | \(5\) |
risch | \(x \,{\mathrm e}\) | \(5\) |
parallelrisch | \(x \,{\mathrm e}\) | \(5\) |
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none
Time = 0.23 (sec) , antiderivative size = 4, normalized size of antiderivative = 1.33 \[ \int e \, dx=x e \]
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Time = 0.01 (sec) , antiderivative size = 3, normalized size of antiderivative = 1.00 \[ \int e \, dx=e x \]
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none
Time = 0.18 (sec) , antiderivative size = 4, normalized size of antiderivative = 1.33 \[ \int e \, dx=x e \]
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none
Time = 0.26 (sec) , antiderivative size = 4, normalized size of antiderivative = 1.33 \[ \int e \, dx=x e \]
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Time = 0.00 (sec) , antiderivative size = 4, normalized size of antiderivative = 1.33 \[ \int e \, dx=x\,\mathrm {e} \]
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