$\int\frac{x}{\left(2x+1\right)^3}dx$

$32p^2+24p+4$

$\lim_{x\to\infty}\left(\frac{\sqrt{x^2+1}}{\sqrt{x^2-1}}\right)^x$

$\int_{y^2+1}^2\left(y^2\right)dx$

$\lim_{x\to\infty}\left(\sqrt{x+1}-1\right)\cdot\frac{1}{\sqrt{x}}$

$\frac{dy}{dx}+\sqrt{y}=e^x\sqrt{y}$

$2\cos\left(a-b\right)+2\sin\left(a+b\right)$