$\int\:\:\left(3cos2x-2sen3x\right)dx$

$\lim_{x\to\infty}\frac{e^{8x}}{\left(4x\right)^2}$

$\left(\frac{\ln\left(2^{\infty}+1\right)}{2^{\infty}}\right)$

$\int_5^{\infty}\left(\frac{1}{\sqrt{\left(x+1\right)}}\right)dx$

$2+5\sqrt[3]{x}=32$

$x\sin\:\left(\frac{y}{x}\right)\frac{dy}{dx}=ysin\left(\frac{y}{x}\right)+x$

$2xy\left(3x^2-4y^3\right)$