$11\int sin\left(x\right)\cos\left(x\right)dx$

$\lim_{x\to0}\left(\frac{e^{4x}-1}{3x^2+2x}\right)$

$\int\left(\frac{10x}{3}-\frac{1}{2}\right)e^{3x-10x^2+6}dx$

$\frac{dy}{dx}=5\left(x^2+3\right)$

$-\left(\left(m+n-5\right)^2\right)+2\left(m+1\right)^2+2\left(n-4\right)^2$

$\int\frac{p}{p^3+4p^2+5p+2}\:dx$

$y+50y=0$