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

Optimal. Leaf size=19 \[ \text {Int}\left (\frac {f^{a+b x+c x^2}}{x},x\right ) \]

[Out]

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

________________________________________________________________________________________

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 = {} \[ \int \frac {f^{a+b x+c x^2}}{x} \, dx \]

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 = 0.12, size = 0, normalized size = 0.00 \[ \int \frac {f^{a+b x+c x^2}}{x} \, dx \]

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]

________________________________________________________________________________________

fricas [A]  time = 0.42, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {f^{c x^{2} + b x + a}}{x}, x\right ) \]

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)

________________________________________________________________________________________

giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {f^{c x^{2} + b x + a}}{x}\,{d x} \]

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)

________________________________________________________________________________________

maple [A]  time = 0.03, size = 0, normalized size = 0.00 \[ \int \frac {f^{c \,x^{2}+b x +a}}{x}\, dx \]

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)

________________________________________________________________________________________

maxima [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {f^{c x^{2} + b x + a}}{x}\,{d x} \]

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)

________________________________________________________________________________________

mupad [A]  time = 0.00, size = -1, normalized size = -0.05 \[ \int \frac {f^{c\,x^2+b\,x+a}}{x} \,d x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(f^(a + b*x + c*x^2)/x,x)

[Out]

int(f^(a + b*x + c*x^2)/x, x)

________________________________________________________________________________________

sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {f^{a + b x + c x^{2}}}{x}\, dx \]

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)

________________________________________________________________________________________