3.44.90 \(\int \frac {e^{98}}{x^2} \, dx\)

Optimal. Leaf size=8 \[ -\frac {e^{98}}{x} \]

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Rubi [A]  time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.286, Rules used = {12, 30} \begin {gather*} -\frac {e^{98}}{x} \end {gather*}

Antiderivative was successfully verified.

[In]

Int[E^98/x^2,x]

[Out]

-(E^98/x)

Rule 12

Int[(a_)*(u_), x_Symbol] :> Dist[a, Int[u, x], x] /; FreeQ[a, x] &&  !MatchQ[u, (b_)*(v_) /; FreeQ[b, x]]

Rule 30

Int[(x_)^(m_.), x_Symbol] :> Simp[x^(m + 1)/(m + 1), x] /; FreeQ[m, x] && NeQ[m, -1]

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=e^{98} \int \frac {1}{x^2} \, dx\\ &=-\frac {e^{98}}{x}\\ \end {aligned} \end {gather*}

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Mathematica [A]  time = 0.00, size = 8, normalized size = 1.00 \begin {gather*} -\frac {e^{98}}{x} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[E^98/x^2,x]

[Out]

-(E^98/x)

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fricas [A]  time = 0.65, size = 7, normalized size = 0.88 \begin {gather*} -\frac {e^{98}}{x} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(49)^2/x^2,x, algorithm="fricas")

[Out]

-e^98/x

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giac [A]  time = 0.21, size = 7, normalized size = 0.88 \begin {gather*} -\frac {e^{98}}{x} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(49)^2/x^2,x, algorithm="giac")

[Out]

-e^98/x

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maple [A]  time = 0.02, size = 8, normalized size = 1.00

method	result	size
risch	\(-\frac {{\mathrm e}^{98}}{x}\)	\(8\)
gosper	\(-\frac {{\mathrm e}^{98}}{x}\)	\(10\)
default	\(-\frac {{\mathrm e}^{98}}{x}\)	\(10\)
norman	\(-\frac {{\mathrm e}^{98}}{x}\)	\(10\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(49)^2/x^2,x,method=_RETURNVERBOSE)

[Out]

-exp(98)/x

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maxima [A]  time = 0.37, size = 7, normalized size = 0.88 \begin {gather*} -\frac {e^{98}}{x} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(49)^2/x^2,x, algorithm="maxima")

[Out]

-e^98/x

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mupad [B]  time = 0.02, size = 7, normalized size = 0.88 \begin {gather*} -\frac {{\mathrm {e}}^{98}}{x} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(exp(98)/x^2,x)

[Out]

-exp(98)/x

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sympy [A]  time = 0.05, size = 5, normalized size = 0.62 \begin {gather*} - \frac {e^{98}}{x} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(exp(49)**2/x**2,x)

[Out]

-exp(98)/x

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