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Chapter 2
Integrals

2.1 \(\int \arcsin (x) \ln (x)\,dx\)
2.2 \(\int \genfrac {}{}{}{}{x \arcsin (x)}{\sqrt {1-x^2}}\,dx\)
2.3 \(\int -\sin ^{-1}\left (\sqrt {x}-\sqrt {x+1}\right ) \,dx\)
2.4 \(\int \log \left (\sqrt {x^2+1} x+1\right ) \,dx\)
2.5 \(\int \genfrac {}{}{}{}{\cos ^2(x)}{\sqrt {\cos ^4(x)+\cos ^2(x)+1}} \,dx\)
2.6 \(\int \tan (x) \sqrt {\tan ^4(x)+1} \,dx\)
2.7 \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {\sec ^3(x)+1}} \,dx\)
2.8 \(\int \sqrt {\tan ^2(x)+2 \tan (x)+2} \,dx\)
2.9 \(\int \sin (x) \tan ^{-1}\left (\sqrt {\sec (x)-1}\right ) \,dx\)
2.10 \(\int \genfrac {}{}{}{}{x^3 e^{\sin ^{-1}(x)}}{\sqrt {1-x^2}} \,dx\)

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