$\int\frac{1}{4}y\cos\left(4y\right)dy$

$\csc^2x+2\csc x=0$

$\frac{4}{\left(x+1\right)^2}=-2$

$\left(7a^2+14a+1\right)^2$

$\int\frac{e^{-t}}{\left(1+e^{-t}\right)^2}dt$

$\left(x+1\right)\frac{dy}{dx}-3y=\left(x+1\right)^5$

$\lim_{x\to4}\left(\frac{x^4+2x^3+x^2}{x+1}\right)$