$\int\frac{-5x^3+83}{5x^4}dx$

$x^{2+40x+400}$

$2x^2+32x+0$

$\int_0^x\left(\sin\left(x\right)\cos\left(2x\right)\right)dx$

$\int\left(3\left(3x+9\right)\right)dx$

$\lim_{x\to\frac{\pi}{4}}\left(\frac{tan\left(x\right)-1}{\left(x-\frac{\pi}{4}\right)^2}\right)$

$t^{-1}\frac{dy}{dt}=2cos^2y$