Integrand size = 10, antiderivative size = 10 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\text {Int}\left (\frac {\text {Chi}(b x)^2}{x^3},x\right ) \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 10, 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 = {} \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int \frac {\text {Chi}(b x)^2}{x^3} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\text {Chi}(b x)^2}{x^3} \, dx \\ \end{align*}
Not integrable
Time = 0.14 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int \frac {\text {Chi}(b x)^2}{x^3} \, dx \]
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Not integrable
Time = 0.19 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00
\[\int \frac {\operatorname {Chi}\left (b x \right )^{2}}{x^{3}}d x\]
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Not integrable
Time = 0.24 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int { \frac {{\rm Chi}\left (b x\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 0.46 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int \frac {\operatorname {Chi}^{2}\left (b x\right )}{x^{3}}\, dx \]
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Not integrable
Time = 0.22 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int { \frac {{\rm Chi}\left (b x\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 0.29 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int { \frac {{\rm Chi}\left (b x\right )^{2}}{x^{3}} \,d x } \]
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Not integrable
Time = 4.90 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int \frac {\text {Chi}(b x)^2}{x^3} \, dx=\int \frac {{\mathrm {coshint}\left (b\,x\right )}^2}{x^3} \,d x \]
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