$\int_0^{66}\left(\frac{x^2}{33}\sqrt{66x-x^2}+\frac{\sqrt{66x-x^2}}{99}\right)dx$

$5m-m$

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

$\int_0^{\frac{\pi}{4}}\left(\left(\frac{cosx}{sinx^{\frac{4}{3}}}\right)\right)dx$

$15m^2n+7mn$

$\frac{\left(2x^2\right)^3y^2}{4x^4y^2}$

$\frac{dy}{dx}=8x^2\left(7+y^2\right)^{\frac{3}{2}}$