Integrand size = 12, antiderivative size = 12 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\text {Int}\left (\frac {\text {Si}(a+b x)^2}{x^3},x\right ) \]
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Not integrable
Time = 0.04 (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 = {} \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int \frac {\text {Si}(a+b x)^2}{x^3} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx \\ \end{align*}
Not integrable
Time = 1.65 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int \frac {\text {Si}(a+b x)^2}{x^3} \, dx \]
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Not integrable
Time = 0.18 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {Si}\left (b x +a \right )^{2}}{x^{3}}d x\]
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Not integrable
Time = 0.26 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int { \frac {\operatorname {Si}\left (b x + a\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 0.34 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int \frac {\operatorname {Si}^{2}{\left (a + b x \right )}}{x^{3}}\, dx \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int { \frac {\operatorname {Si}\left (b x + a\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 0.35 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int { \frac {\operatorname {Si}\left (b x + a\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 4.85 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Si}(a+b x)^2}{x^3} \, dx=\int \frac {{\mathrm {sinint}\left (a+b\,x\right )}^2}{x^3} \,d x \]
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