Integrand size = 5, antiderivative size = 16 \[ \int -2 e^2 \, dx=-25+e^{25}+e^{e^2}-2 e^2 x \]
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Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {8} \[ \int -2 e^2 \, dx=-2 e^2 x \]
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Rule 8
Rubi steps \begin{align*} \text {integral}& = -2 e^2 x \\ \end{align*}
Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38 \[ \int -2 e^2 \, dx=-2 e^2 x \]
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Time = 0.00 (sec) , antiderivative size = 6, normalized size of antiderivative = 0.38
method | result | size |
default | \(-2 \,{\mathrm e}^{2} x\) | \(6\) |
norman | \(-2 \,{\mathrm e}^{2} x\) | \(6\) |
risch | \(-2 \,{\mathrm e}^{2} x\) | \(6\) |
parallelrisch | \(-2 \,{\mathrm e}^{2} x\) | \(6\) |
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none
Time = 0.22 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]
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Time = 0.02 (sec) , antiderivative size = 7, normalized size of antiderivative = 0.44 \[ \int -2 e^2 \, dx=- 2 x e^{2} \]
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none
Time = 0.20 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]
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none
Time = 0.25 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2 \, x e^{2} \]
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Time = 0.00 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.31 \[ \int -2 e^2 \, dx=-2\,x\,{\mathrm {e}}^2 \]
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