$\int_3^9\left(\pi\left(\frac{1}{x^3}-3\right)^2\right)dx$

$\int_{-1}^1\left(x^3+3x^2+3x+3\right)dx$

$\lim_{x\to\infty}\:\frac{-2^n-1}{-2^n+1}$

$\frac{dy}{dx}=\frac{\left(x^2+9\right)}{\left(t^2+36\right)}$

$-11\cdot\left(-3n-7\right)$

$\lim_{x\to0}\frac{e^{3x}-1}{x^3}$

$\lim_{x\to\infty}\left(\left(\frac{\left(4x+2\right)}{\left(9x-5\right)}\right)^{2x+7}\right)$