$\lim_{x\to\infty}\left(\frac{4x+6}{7x^2+5x-5}\right)$

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

$\lim_{x\to0}\left(\frac{\sin^3\left(x\right)}{x^2.\tan\left(3x\right)}\right)$

$y'=tan\left(x\right)y+sen\left(x\right)$

$\left(sen^2x\:-cosx\right)^4$

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

$-27-\left(-36\right)$