3.3 Integrals 201 to 233

\(\int \genfrac {}{}{}{}{\Gamma (p,d (a+b \log (c x^n)))}{x^3} \, dx\) [201]
\(\int (e x)^m \Gamma (p,d (a+b \log (c x^n))) \, dx\) [202]
\(\int (c+d x)^3 \text {log$\Gamma $}(a+b x) \, dx\) [203]
\(\int (c+d x)^2 \text {log$\Gamma $}(a+b x) \, dx\) [204]
\(\int (c+d x) \text {log$\Gamma $}(a+b x) \, dx\) [205]
\(\int \text {log$\Gamma $}(a+b x) \, dx\) [206]
\(\int \genfrac {}{}{}{}{\text {log$\Gamma $}(a+b x)}{c+d x} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\text {log$\Gamma $}(a+b x)}{(c+d x)^2} \, dx\) [208]
\(\int (c+d x)^{3/2} \text {log$\Gamma $}(a+b x) \, dx\) [209]
\(\int \sqrt {c+d x} \text {log$\Gamma $}(a+b x) \, dx\) [210]
\(\int \genfrac {}{}{}{}{\text {log$\Gamma $}(a+b x)}{\sqrt {c+d x}} \, dx\) [211]
\(\int (c+d x)^2 \log (\operatorname {Gamma}(a+b x)) \, dx\) [212]
\(\int (c+d x) \log (\operatorname {Gamma}(a+b x)) \, dx\) [213]
\(\int \log (\operatorname {Gamma}(a+b x)) \, dx\) [214]
\(\int \genfrac {}{}{}{}{\log (\operatorname {Gamma}(a+b x))}{c+d x} \, dx\) [215]
\(\int \genfrac {}{}{}{}{\log (\operatorname {Gamma}(a+b x))}{(c+d x)^2} \, dx\) [216]
\(\int (c+d x)^m \psi ^{(n)}(a+b x) \, dx\) [217]
\(\int (c+d x)^3 \psi ^{(n)}(a+b x) \, dx\) [218]
\(\int (c+d x)^2 \psi ^{(n)}(a+b x) \, dx\) [219]
\(\int (c+d x) \psi ^{(n)}(a+b x) \, dx\) [220]
\(\int \psi ^{(n)}(a+b x) \, dx\) [221]
\(\int \genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{c+d x} \, dx\) [222]
\(\int \genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{(c+d x)^2} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{(c+d x)^3} \, dx\) [224]
\(\int (c+d x)^{3/2} \psi ^{(n)}(a+b x) \, dx\) [225]
\(\int \sqrt {c+d x} \psi ^{(n)}(a+b x) \, dx\) [226]
\(\int \genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{\sqrt {c+d x}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{(c+d x)^{3/2}} \, dx\) [228]
\(\int x^2 \psi ^{(1)}(a+b x) \, dx\) [229]
\(\int (\genfrac {}{}{}{}{\psi ^{(1)}(a+b x)}{x^2}-\genfrac {}{}{}{}{b \psi ^{(2)}(a+b x)}{x}) \, dx\) [230]
\(\int (\genfrac {}{}{}{}{\psi ^{(n)}(a+b x)}{x^2}-\genfrac {}{}{}{}{b \psi ^{(1+n)}(a+b x)}{x}) \, dx\) [231]
\(\int \operatorname {Gamma}(a+b x)^n \psi ^{(0)}(a+b x) \, dx\) [232]
\(\int ((a+b x)!)^n \psi ^{(0)}(1+a+b x) \, dx\) [233]