3.430 \(\int \frac{f^{a+b x+c x^2}}{x} \, dx\)

Optimal. Leaf size=18 \[ \text{Unintegrable}\left (\frac{f^{a+b x+c x^2}}{x},x\right ) \]

[Out]

Unintegrable[f^(a + b*x + c*x^2)/x, x]

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Rubi [A]  time = 0.0254935, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{f^{a+b x+c x^2}}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Int[f^(a + b*x + c*x^2)/x,x]

[Out]

Defer[Int][f^(a + b*x + c*x^2)/x, x]

Rubi steps

\begin{align*} \int \frac{f^{a+b x+c x^2}}{x} \, dx &=\int \frac{f^{a+b x+c x^2}}{x} \, dx\\ \end{align*}

Mathematica [A]  time = 0.110627, size = 0, normalized size = 0. \[ \int \frac{f^{a+b x+c x^2}}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[f^(a + b*x + c*x^2)/x,x]

[Out]

Integrate[f^(a + b*x + c*x^2)/x, x]

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Maple [A]  time = 0.014, size = 0, normalized size = 0. \begin{align*} \int{\frac{{f}^{c{x}^{2}+bx+a}}{x}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(f^(c*x^2+b*x+a)/x,x)

[Out]

int(f^(c*x^2+b*x+a)/x,x)

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Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{f^{c x^{2} + b x + a}}{x}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(f^(c*x^2+b*x+a)/x,x, algorithm="maxima")

[Out]

integrate(f^(c*x^2 + b*x + a)/x, x)

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Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{f^{c x^{2} + b x + a}}{x}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(f^(c*x^2+b*x+a)/x,x, algorithm="fricas")

[Out]

integral(f^(c*x^2 + b*x + a)/x, x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{f^{a + b x + c x^{2}}}{x}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(f**(c*x**2+b*x+a)/x,x)

[Out]

Integral(f**(a + b*x + c*x**2)/x, x)

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Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{f^{c x^{2} + b x + a}}{x}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(f^(c*x^2+b*x+a)/x,x, algorithm="giac")

[Out]

integrate(f^(c*x^2 + b*x + a)/x, x)