Optimal. Leaf size=21 \[ \text {Int}\left (\frac {\sin \left (b (c+d x)^2\right )}{e+f x},x\right ) \]
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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 = {} \[ \int \frac {\sin \left (b (c+d x)^2\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {\sin \left (b (c+d x)^2\right )}{e+f x} \, dx &=\int \frac {\sin \left (b (c+d x)^2\right )}{e+f x} \, dx\\ \end {align*}
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Mathematica [A] time = 5.32, size = 0, normalized size = 0.00 \[ \int \frac {\sin \left (b (c+d x)^2\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.71, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {\sin \left (b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right )}{f x + e}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sin \left ({\left (d x + c\right )}^{2} b\right )}{f x + e}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.20, size = 0, normalized size = 0.00 \[ \int \frac {\sin \left (\left (d x +c \right )^{2} b \right )}{f x +e}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sin \left ({\left (d x + c\right )}^{2} b\right )}{f x + e}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.05 \[ \int \frac {\sin \left (b\,{\left (c+d\,x\right )}^2\right )}{e+f\,x} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\sin {\left (b c^{2} + 2 b c d x + b d^{2} x^{2} \right )}}{e + f x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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