$\int x\left(x+a\right)^3dx$

$\lim_{n\to0}\left(\left(\frac{n}{2}\right)\left(\frac{\left(1-e^{-\frac{2}{n}}\right)}{2}\right)\right)$

$\int\sqrt{25-5x}dx$

$\frac{dy}{dx}\left(\frac{2xy}{y-1}\right)$

$4\sqrt[5]{6m^2n^3}\ 2\sqrt[5]{3m^4n^2}$

$\int_1^{\infty}\frac{\frac{3}{2}\left(x^2\right)}{x^3+1}-\frac{1}{3x+1}dx$

$\left(1-cos\left(x\right)\right)\frac{dy}{dx}=\left(1+y\right)sin\left(x\right)$