$f\left(x\right)=7^{3x^2-1}$

$x^3+512$

$\lim x\to\pi\left(\frac{\left(sin2x\right)^2}{1-cos2x}\right)$

$\int\frac{x^7}{\left(\sqrt[3]{1+x^4}\right)}dx$

$\int_1^{x^2}\frac{1}{\left(t+2\right)^2}dt$

$\frac{dy}{dx}=\frac{y}{x}+4x^2$

$-6+11x^4+3x-2x^5\left(6+3x-4x^3\right)$