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

$\left(1^3\right)^{10}$

$\lim_{x\to5}\:\frac{x^2+3x}{x^2-5}$

$\frac{\sin\left(2x\right)+\sin\left(x\right)}{2\sin^2\left(x\right)-2-\cos\left(x\right)}$

$\int\left(x\cdot\cos^2\left(2x+3\right)\right)dx$

$y=\left(\frac{1-x}{x^2-x}\right)\left(1-x^2-2x^{-1}\right)$

$\int_8^{\infty}\left(\frac{7}{x^2-4}\right)dx$