3.29 \(\int (10 e)^x \, dx\)

Optimal. Leaf size=12 \[ \frac{(10 e)^x}{1+\log (10)} \]

[Out]

(10*E)^x/(1 + Log[10])

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Rubi [A]  time = 0.0114692, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ \frac{(10 e)^x}{1+\log (10)} \]

Antiderivative was successfully verified.

[In]  Int[(10*E)^x,x]

[Out]

(10*E)^x/(1 + Log[10])

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Rubi in Sympy [A]  time = 0.48664, size = 8, normalized size = 0.67 \[ \frac{\left (10 e\right )^{x}}{\log{\left (10 e \right )}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate((10*E)**x,x)

[Out]

(10*E)**x/log(10*E)

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Mathematica [A]  time = 0.0053498, size = 12, normalized size = 1. \[ \frac{(10 e)^x}{\log (10 e)} \]

Antiderivative was successfully verified.

[In]  Integrate[(10*E)^x,x]

[Out]

(10*E)^x/Log[10*E]

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Maple [A]  time = 0.02, size = 13, normalized size = 1.1 \[{\frac{ \left ( 10\,E \right ) ^{x}}{\ln \left ( 10\,E \right ) }} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int((10*E)^x,x)

[Out]

1/ln(10*E)*(10*E)^x

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Maxima [A]  time = 1.34536, size = 16, normalized size = 1.33 \[ \frac{\left (10 \, E\right )^{x}}{\log \left (10 \, E\right )} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate((10*E)^x,x, algorithm="maxima")

[Out]

(10*E)^x/log(10*E)

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Fricas [A]  time = 0.221903, size = 16, normalized size = 1.33 \[ \frac{\left (10 \, E\right )^{x}}{\log \left (10 \, E\right )} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate((10*E)^x,x, algorithm="fricas")

[Out]

(10*E)^x/log(10*E)

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Sympy [A]  time = 0.074312, size = 8, normalized size = 0.67 \[ \frac{\left (10 e\right )^{x}}{1 + \log{\left (10 \right )}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate((10*E)**x,x)

[Out]

(10*E)**x/(1 + log(10))

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GIAC/XCAS [A]  time = 0.198523, size = 16, normalized size = 1.33 \[ \frac{\left (10 \, E\right )^{x}}{{\rm ln}\left (10 \, E\right )} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate((10*E)^x,x, algorithm="giac")

[Out]

(10*E)^x/ln(10*E)