3.1 Integrals 1 to 14

\(\int x^2 \zeta (2,a+b x) \, dx\) [1]
\(\int x \zeta (2,a+b x) \, dx\) [2]
\(\int \zeta (2,a+b x) \, dx\) [3]
\(\int \genfrac {}{}{}{}{\zeta (2,a+b x)}{x} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\zeta (2,a+b x)}{x^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\zeta (2,a+b x)}{x^3} \, dx\) [6]
\(\int (-\genfrac {}{}{}{}{b \psi ^{(2)}(a+b x)}{x}+\genfrac {}{}{}{}{\zeta (2,a+b x)}{x^2}) \, dx\) [7]
\(\int x^2 \zeta (s,a+b x) \, dx\) [8]
\(\int x \zeta (s,a+b x) \, dx\) [9]
\(\int \zeta (s,a+b x) \, dx\) [10]
\(\int \genfrac {}{}{}{}{\zeta (s,a+b x)}{x} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\zeta (s,a+b x)}{x^2} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\zeta (s,a+b x)}{x^3} \, dx\) [13]
\(\int (\genfrac {}{}{}{}{\zeta (s,a+b x)}{x^2}+\genfrac {}{}{}{}{b s \zeta (1+s,a+b x)}{x}) \, dx\) [14]