$\int_0^1\left(\sin^2\left(\pi y\right)\cos^2\left(\pi y\right)\right)dy$

$ln\left(\frac{x^3}{y^7z^5}\right)$

$\int\left(\frac{5x-7}{\left(x^2+2\right)\left(x-3\right)}\right)dx$

$9\cdot687$

$\int\:\frac{\sqrt{x\:}\:}{x+2}dx$

$\frac{a-2b}{\sqrt{\sqrt{a}-\sqrt{2b}}}$

$\left(x^2+8x\right)\left(x^2-\:9\right)$