$\cot\left(x\right)\tan\left(\frac{x}{2}\right)=\frac{cosx}{1+cosx}$
$\int\:\frac{1}{y^2lny}dy$
$5y'-3y\:=\:2x\:+\:2$
$\int\sin\left(x+3\sin3x\right)dx$
$8x-5\le7x+14$
$\frac{x^2+3}{x}=1+x$
$\int\left(\frac{3}{x^5}\right)dx$
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