Integrand size = 16, antiderivative size = 16 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\text {Int}\left (\frac {\cos (a+b x) \text {Si}(c+d x)}{x},x\right ) \]
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Not integrable
Time = 0.07 (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 = {} \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx \\ \end{align*}
Not integrable
Time = 7.84 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx \]
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Not integrable
Time = 0.38 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00
\[\int \frac {\cos \left (b x +a \right ) \operatorname {Si}\left (d x +c \right )}{x}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\cos \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 0.85 (sec) , antiderivative size = 15, normalized size of antiderivative = 0.94 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\cos {\left (a + b x \right )} \operatorname {Si}{\left (c + d x \right )}}{x}\, dx \]
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Not integrable
Time = 0.38 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\cos \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int { \frac {\cos \left (b x + a\right ) \operatorname {Si}\left (d x + c\right )}{x} \,d x } \]
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Not integrable
Time = 6.07 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\cos (a+b x) \text {Si}(c+d x)}{x} \, dx=\int \frac {\mathrm {sinint}\left (c+d\,x\right )\,\cos \left (a+b\,x\right )}{x} \,d x \]
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