$\int4x^3+2x-5\sqrt{x}dx$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{cos\left(x\right)}{\left(\frac{\pi}{2}-x\right)}\right)$

$e^xy\frac{dy}{dx}=e^{-y}+e^{-2x-y};\:y\left(0\right)=0$

$b+8b-5-2b=16$

$\frac{dy}{dr}=y\sin\left(r\right)\:$

$\left(-4x^6+5y^4\right)\left(-4x^6-5y^4\right)$

$\int_0^{\pi}\left(cos3xcos4x\right)dx$