$\frac{d^2}{dx^2}\left(2e^{4x}-6\ln\left(x\right)\right)$

$\int\frac{8}{3}x^6\cdot e^{2x}dx$

$x^2\frac{dy}{dx}=\cos^2\left(y\right)$

$4+\sin\left(x\right)^24\sec\left(x\right)^2=4\sec\left(x\right)^2$

$\frac{1-cos\:2x}{2}+3cos\:x+3$

$\left(a^2+a^2b^2-b^2\right)\left(a^4+a^2b^2-b^4\right)$

$\int x\cdot cos\:x^2$