$\frac{d}{dx}xe^y=x-y+y^2$
$\frac{2cos^2x+cos\:x-3}{sin^2x}=\frac{2cos\:x-3}{cos\:x+1}$
$7x^2-4x+1$
$6y^2+y^2$
$\int_0^0\left(4x+2\right)\left(x-1\right)dx$
$\frac{1-cos^2x}{cos^3x}$
$\int_{-3}^3\left(\frac{x^2-6}{x^2-12x-5}\right)dx$
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