$\frac{\left(2\sqrt{x^5}\cdot\left(3\right)-20\sqrt{x^3}+50\sqrt{x}\cdot\left(15\right)\right)}{15}$

$2\ln\left(x\right)+\ln\left(x^4+2x^2\right)$

$\frac{d^2}{dx^2}\:4\cos^2x$

$\int\frac{8x^3}{\left(x^2+2\right)^2}dx$

$4x^2+28x-32$

$4dx+e^{3x}dy=0$

$\int\left(e^{3x}\cdot\cos\left(x\right)\right)dx$