$\sin^2\left(\frac{x}{2}-a\right)+\cos^2\left(\frac{x}{2}-a\right)$
$f^2cos^33x\:\frac{df}{dx}-sin3x=0$
$-\frac{1}{\left(\infty+1\right)^2}$
$\frac{dy}{dx}=8x\left(4+7y\right)$
$\int ye^{-2y}dy$
$4\int tan^3\left(x\right)dx$
$\frac{1-3i}{2+2i}$
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