$\int y\cdot\sin\left(g\right)dg$

$\lim_{x\to\infty}\left(1-\frac{4}{x}^x\right)$

$\int\left(3x^3-3x\right)^4\left(3x^{2\:}\:-1\right)dx$

$4x^2+28x-32$

$\lim_{x\to\infty}\left(-\frac{2\left(x-1\right)^2}{x}\right)$

$\frac{d}{dx}\frac{x^4-3x^3-6x^2-3x+2}{x}$

$\int_{-1}^7\left(e^x\right)dx$