Integrand size = 12, antiderivative size = 12 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\text {Int}\left (\frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x},x\right ) \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx \\ \end{align*}
Not integrable
Time = 1.45 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx \]
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Not integrable
Time = 0.21 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {Ci}\left (b x \right ) \sin \left (b x \right )}{x}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x\right ) \sin \left (b x\right )}{x} \,d x } \]
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Not integrable
Time = 2.12 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int \frac {\sin {\left (b x \right )} \operatorname {Ci}{\left (b x \right )}}{x}\, dx \]
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Not integrable
Time = 0.26 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x\right ) \sin \left (b x\right )}{x} \,d x } \]
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Not integrable
Time = 0.27 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int { \frac {\operatorname {C}\left (b x\right ) \sin \left (b x\right )}{x} \,d x } \]
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Not integrable
Time = 5.15 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\operatorname {CosIntegral}(b x) \sin (b x)}{x} \, dx=\int \frac {\mathrm {cosint}\left (b\,x\right )\,\sin \left (b\,x\right )}{x} \,d x \]
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