$\lim_{x\to\infty}\left(\frac{\sin\left(\frac{1}{x}\right)}{e^{\frac{1}{x}}}\right)$

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

$3\:-\:14\::\:7\:-\:5\:.\:4\:-\:9\::\:3\:.\:4$

$\int_0^x\left(\frac{1}{\left(a-x\right)\left(b-x\right)}\right)dx$

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

$\left(-2a+b\right)\left(4a-3b\right)$

$2\left(5\right)\left(3\right)^2$