\(\int \frac {1}{7+e^{64}} \, dx\) [8964]

Optimal result

Integrand size = 7, antiderivative size = 9 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{7+e^{64}} \]

[Out]

x/(exp(64)+7)

Rubi [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{7+e^{64}} \]

[In]

Int[(7 + E^64)^(-1),x]

[Out]

x/(7 + E^64)

Rule 8

Int[a_, x_Symbol] :> Simp[a*x, x] /; FreeQ[a, x]

Rubi steps \begin{align*} \text {integral}& = \frac {x}{7+e^{64}} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.00 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{7+e^{64}} \]

[In]

Integrate[(7 + E^64)^(-1),x]

[Out]

x/(7 + E^64)

Maple [A] (verified)

Time = 0.01 (sec) , antiderivative size = 9, normalized size of antiderivative = 1.00

method	result	size
default	\(\frac {x}{{\mathrm e}^{64}+7}\)	\(9\)
norman	\(\frac {x}{{\mathrm e}^{64}+7}\)	\(9\)
risch	\(\frac {x}{{\mathrm e}^{64}+7}\)	\(9\)
parallelrisch	\(\frac {x}{{\mathrm e}^{64}+7}\)	\(9\)

[In]

int(1/(exp(64)+7),x,method=_RETURNVERBOSE)

[Out]

x/(exp(64)+7)

Fricas [A] (verification not implemented)

none

Time = 0.24 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{e^{64} + 7} \]

[In]

integrate(1/(exp(64)+7),x, algorithm="fricas")

[Out]

x/(e^64 + 7)

Sympy [A] (verification not implemented)

Time = 0.01 (sec) , antiderivative size = 5, normalized size of antiderivative = 0.56 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{7 + e^{64}} \]

[In]

integrate(1/(exp(64)+7),x)

[Out]

x/(7 + exp(64))

Maxima [A] (verification not implemented)

none

Time = 0.18 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{e^{64} + 7} \]

[In]

integrate(1/(exp(64)+7),x, algorithm="maxima")

[Out]

x/(e^64 + 7)

Giac [A] (verification not implemented)

none

Time = 0.27 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{e^{64} + 7} \]

[In]

integrate(1/(exp(64)+7),x, algorithm="giac")

[Out]

x/(e^64 + 7)

Mupad [B] (verification not implemented)

Time = 0.00 (sec) , antiderivative size = 8, normalized size of antiderivative = 0.89 \[ \int \frac {1}{7+e^{64}} \, dx=\frac {x}{{\mathrm {e}}^{64}+7} \]

[In]

int(1/(exp(64) + 7),x)

[Out]

x/(exp(64) + 7)