$\int\frac{2x^2+3}{\left(x^2+2\right)^2}dx$

$\int\sec^6\left(ax\right)dx$

$\left(cotx\:-cscx\right)\left(cosx+1\right)$

$\int_{\frac{4\pi}{3}}^{\frac{2\pi}{3}}\left(\frac{1}{2}\left(3+6\:cosx\right)^2\right)dx$

$11\:.\:8a^2-14a-15$

$\int e^{2x+6}dx$

$\frac{d}{dx}8x^2y=-4-7xy^2$