3.77 \(\int x^m \text {Ci}(b x)^2 \, dx\)

Optimal. Leaf size=13 \[ \text {Int}\left (x^m \text {Ci}(b x)^2,x\right ) \]

[Out]

CannotIntegrate(x^m*Ci(b*x)^2,x)

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Rubi [A]  time = 0.03, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int x^m \text {CosIntegral}(b x)^2 \, dx \]

Verification is Not applicable to the result.

[In]

Int[x^m*CosIntegral[b*x]^2,x]

[Out]

Defer[Int][x^m*CosIntegral[b*x]^2, x]

Rubi steps

\begin {align*} \int x^m \text {Ci}(b x)^2 \, dx &=\int x^m \text {Ci}(b x)^2 \, dx\\ \end {align*}

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Mathematica [A]  time = 3.14, size = 0, normalized size = 0.00 \[ \int x^m \text {Ci}(b x)^2 \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[x^m*CosIntegral[b*x]^2,x]

[Out]

Integrate[x^m*CosIntegral[b*x]^2, x]

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fricas [A]  time = 0.96, size = 0, normalized size = 0.00 \[ {\rm integral}\left (x^{m} \operatorname {Ci}\left (b x\right )^{2}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x^m*Ci(b*x)^2,x, algorithm="fricas")

[Out]

integral(x^m*cos_integral(b*x)^2, x)

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giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int x^{m} {\rm Ci}\left (b x\right )^{2}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x^m*Ci(b*x)^2,x, algorithm="giac")

[Out]

integrate(x^m*Ci(b*x)^2, x)

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maple [A]  time = 0.02, size = 0, normalized size = 0.00 \[ \int x^{m} \Ci \left (b x \right )^{2}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(x^m*Ci(b*x)^2,x)

[Out]

int(x^m*Ci(b*x)^2,x)

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maxima [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int x^{m} {\rm Ci}\left (b x\right )^{2}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x^m*Ci(b*x)^2,x, algorithm="maxima")

[Out]

integrate(x^m*Ci(b*x)^2, x)

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mupad [A]  time = 0.00, size = -1, normalized size = -0.08 \[ \int x^m\,{\mathrm {cosint}\left (b\,x\right )}^2 \,d x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(x^m*cosint(b*x)^2,x)

[Out]

int(x^m*cosint(b*x)^2, x)

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sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int x^{m} \operatorname {Ci}^{2}{\left (b x \right )}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x**m*Ci(b*x)**2,x)

[Out]

Integral(x**m*Ci(b*x)**2, x)

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