$\int_0^{\frac{1}{2}}\left(\frac{8y}{\left(2y+1\right)\left(4y^2+1\right)}\right)dy$

$3\sqrt{n}^{12}$

$\left(x^2+4\right)\frac{dy}{dx}=2x-8xy$

$\int_0^45xdx$

$a+b+2\:a+b\:-2$

$-16+\left(-7\right)-\left(38-17\right)-\left(-15-19\right)$

$\int\left(x+4\right)cos\left(x\right)dx$