$\frac{d}{dx}\left(e^{-x^3}\left(7-x\right)^{10}\right)$

$\int\frac{\arctan\sqrt{x}}{\sqrt{x}\left(1+x\right)}dx$

$\int\frac{x}{\left(x+2\right)\left(x+3\right)^2}dx$

$\lim_{x\to\infty}\left(2+\frac{1}{x}\right)^{-2x}$

$\int\left(25+x^2\right)^7dx$

$\left(\frac{81x^4-1}{3x-1}\right)$

$-7\left(x+4\right)-4\left(x-7\right)$