Integrand size = 16, antiderivative size = 16 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\text {Int}\left (\frac {\text {csch}(a+b x)}{\sqrt {c+d x}},x\right ) \]
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Not integrable
Time = 0.02 (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 = {} \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx \\ \end{align*}
Not integrable
Time = 36.87 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx \]
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Not integrable
Time = 0.40 (sec) , antiderivative size = 14, normalized size of antiderivative = 0.88
\[\int \frac {\operatorname {csch}\left (b x +a \right )}{\sqrt {d x +c}}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int { \frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}} \,d x } \]
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Not integrable
Time = 0.49 (sec) , antiderivative size = 15, normalized size of antiderivative = 0.94 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int \frac {\operatorname {csch}{\left (a + b x \right )}}{\sqrt {c + d x}}\, dx \]
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Not integrable
Time = 1.07 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int { \frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}} \,d x } \]
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Not integrable
Time = 0.28 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int { \frac {\operatorname {csch}\left (b x + a\right )}{\sqrt {d x + c}} \,d x } \]
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Not integrable
Time = 0.82 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {csch}(a+b x)}{\sqrt {c+d x}} \, dx=\int \frac {1}{\mathrm {sinh}\left (a+b\,x\right )\,\sqrt {c+d\,x}} \,d x \]
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