$\sin^2\left(x\right)-3\cos^2\left(x\right)=1-4\cos^2\left(x\right)$

$\frac{d}{dx}\left(\frac{x^{\frac{3}{4}}\cdot sqrt\left(x^2+1\right)}{\left(3x+2\right)^5}\right)$

$\int\:\frac{\left(x^2\right)}{\left(x^3+4\right)^5}dx$

$\frac{100\cdot\:2^{-4}\cdot\:5^{-4}\cdot\:3^{-2}}{6^{-2}\cdot\:15^{-1}}$

$\lim_{x\to0}\left(\frac{17x^2}{\cos\left(x\right)-1}\right)$

$-509-395$

$\int xe^edx$