Integrand size = 16, antiderivative size = 16 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\text {Int}\left (\frac {\sin (a+b x) \text {Si}(c+d x)}{x},x\right ) \]
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Not integrable
Time = 0.12 (sec) , antiderivative size = 16, 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 = {} \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx \\ \end{align*}
Not integrable
Time = 13.37 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx \]
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Not integrable
Time = 0.35 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {Si}\left (d x +c \right ) \sin \left (b x +a \right )}{x}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\sin \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 0.75 (sec) , antiderivative size = 15, normalized size of antiderivative = 0.94 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\sin {\left (a + b x \right )} \operatorname {Si}{\left (c + d x \right )}}{x}\, dx \]
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Not integrable
Time = 0.38 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\sin \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 0.30 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\sin \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 6.59 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\sin (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\mathrm {sinint}\left (c+d\,x\right )\,\sin \left (a+b\,x\right )}{x} \,d x \]
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