3.1 Integrals 1 to 9

\(\int \genfrac {}{}{}{}{x}{a+b \sin ^2(x)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x^2}{a+b \sin ^2(x)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{x^3}{a+b \sin ^2(x)} \, dx\) [3]
\(\int \genfrac {}{}{}{}{x}{(a+b \sin ^2(c+d x))^2} \, dx\) [4]
\(\int x \sqrt {\sin ^2(x)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{x}{a+b \cos ^2(x)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{x^2}{a+b \cos ^2(x)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{x^3}{a+b \cos ^2(x)} \, dx\) [8]
\(\int \genfrac {}{}{}{}{x}{(a+b \cos ^2(c+d x))^2} \, dx\) [9]