3.4 Integrals 301 to 321

\(\int \cos (3 x) \csc ^2(x) \sec ^3(x) \sin (2 x) \, dx\) [301]
\(\int (\genfrac {}{}{}{}{1}{\sqrt {2} \sqrt {\log (x)}}+\sqrt {2} \sqrt {\log (x)}) \, dx\) [302]
\(\int \log (\cos (x)) \sec ^2(x) \, dx\) [303]
\(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{5}{(-5+x)^6}+\genfrac {}{}{}{}{3}{(-3+x)^4}+\genfrac {}{}{}{}{1}{(-1+x)^2}}{(1+\genfrac {}{}{}{}{1}{(-5+x)^5}+\genfrac {}{}{}{}{1}{(-3+x)^3}+\genfrac {}{}{}{}{1}{-1+x})^2} \, dx\) [304]
\(\int \csc (x) \sin (23 x) \, dx\) [305]
\(\int \genfrac {}{}{}{}{(1-x)^2 x^4}{1+x^2} \, dx\) [306]
\(\int x^{-\log (x)} \, dx\) [307]
\(\int \genfrac {}{}{}{}{1-2 x}{x^{2/3} (1+x)^2} \, dx\) [308]
\(\int \cos ^2(\genfrac {}{}{}{}{\pi x^2}{\sqrt {2}}) \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{1+\cos (x)+\sin (x)} \, dx\) [310]
\(\int \tan ^5(x) \, dx\) [311]
\(\int \sqrt {1+\genfrac {}{}{}{}{1}{x}} \, dx\) [312]
\(\int e^{\cos (x)} \cos (2 x+\sin (x)) \, dx\) [313]
\(\int \genfrac {}{}{}{}{-1+2 x+3 \log (x)}{x^2+2 x^4+x \log (x)} \, dx\) [314]
\(\int (-\sqrt {x}+\sqrt {1+x})^{\pi } \, dx\) [315]
\(\int (-2+(-2+(-2+(-2+x^2)^2)^2)^2) \, dx\) [316]
\(\int \sin (4 \arctan (x)) \, dx\) [317]
\(\int \genfrac {}{}{}{}{\sqrt [3]{\tan (x)}}{(\cos (x)+\sin (x))^2} \, dx\) [318]
\(\int \csc ^2(x) \csc ^2(6 x) \csc ^2(10 x) \csc ^2(15 x) \sin ^2(2 x) \sin ^2(3 x) \sin ^2(5 x) \sin ^2(30 x) \, dx\) [319]
\(\int \sqrt {1+x^2+\sqrt {1+x^2+x^4}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{x^9}{575-48 x^{10}+x^{20}} \, dx\) [321]