Integrand size = 12, antiderivative size = 12 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\text {Int}\left (\frac {\text {Chi}(a+b x)^2}{x^2},x\right ) \]
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Not integrable
Time = 0.03 (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 = {} \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx \\ \end{align*}
Not integrable
Time = 0.77 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx \]
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Not integrable
Time = 0.21 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {Chi}\left (b x +a \right )^{2}}{x^{2}}d x\]
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Not integrable
Time = 0.23 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int { \frac {{\rm Chi}\left (b x + a\right )^{2}}{x^{2}} \,d x } \]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int \frac {\operatorname {Chi}^{2}\left (a + b x\right )}{x^{2}}\, dx \]
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Not integrable
Time = 0.21 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int { \frac {{\rm Chi}\left (b x + a\right )^{2}}{x^{2}} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int { \frac {{\rm Chi}\left (b x + a\right )^{2}}{x^{2}} \,d x } \]
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Not integrable
Time = 4.90 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int \frac {\text {Chi}(a+b x)^2}{x^2} \, dx=\int \frac {{\mathrm {coshint}\left (a+b\,x\right )}^2}{x^2} \,d x \]
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