$y'=\pi ycot\left(2\pi x\right)$
$3y^2x\frac{dy}{dx}=1-2x^3$
$\int x^3tan^3\left(x^4\right)dx$
$\int\frac{e^{2x}-3}{e^{-2x}+3}dx$
$\left(x+a\right)^2+5\left(x+a\right)+4$
$\int t^8ln\left(t\right)dx$
$\cos3x\sin\left(3x\right)$
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