3.138 \(\int \frac {C(a+b x)}{x} \, dx\)

Optimal. Leaf size=13 \[ \text {Int}\left (\frac {C(a+b x)}{x},x\right ) \]

[Out]

Unintegrable(FresnelC(b*x+a)/x,x)

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Rubi [A]  time = 0.01, 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 = {} \[ \int \frac {\text {FresnelC}(a+b x)}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Int[FresnelC[a + b*x]/x,x]

[Out]

Defer[Int][FresnelC[a + b*x]/x, x]

Rubi steps

\begin {align*} \int \frac {C(a+b x)}{x} \, dx &=\int \frac {C(a+b x)}{x} \, dx\\ \end {align*}

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Mathematica [A]  time = 0.02, size = 0, normalized size = 0.00 \[ \int \frac {C(a+b x)}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[FresnelC[a + b*x]/x,x]

[Out]

Integrate[FresnelC[a + b*x]/x, x]

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fricas [A]  time = 0.40, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {{\rm fresnelc}\left (b x + a\right )}{x}, x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(fresnelc(b*x+a)/x,x, algorithm="fricas")

[Out]

integral(fresnelc(b*x + a)/x, x)

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giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {{\rm fresnelc}\left (b x + a\right )}{x}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(fresnelc(b*x+a)/x,x, algorithm="giac")

[Out]

integrate(fresnelc(b*x + a)/x, x)

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maple [A]  time = 0.03, size = 0, normalized size = 0.00 \[ \int \frac {\FresnelC \left (b x +a \right )}{x}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(FresnelC(b*x+a)/x,x)

[Out]

int(FresnelC(b*x+a)/x,x)

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maxima [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {{\rm fresnelc}\left (b x + a\right )}{x}\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(fresnelc(b*x+a)/x,x, algorithm="maxima")

[Out]

integrate(fresnelc(b*x + a)/x, x)

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mupad [A]  time = 0.00, size = -1, normalized size = -0.08 \[ \int \frac {\mathrm {FresnelC}\left (a+b\,x\right )}{x} \,d x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(FresnelC(a + b*x)/x,x)

[Out]

int(FresnelC(a + b*x)/x, x)

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sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {C\left (a + b x\right )}{x}\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(fresnelc(b*x+a)/x,x)

[Out]

Integral(fresnelc(a + b*x)/x, x)

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