$\int\frac{3sinx+4cosx}{4sinx-3cosx}dx$

$\lim_{x\to0}\:\:a^x-b^x$

$92\:-\:\left(-27\right)$

$\frac{dy}{dx}=\frac{-5x}{6y}$

$\lim_{x\to\infty}\left(\left(x\right)\left(1+\sqrt{x+1}-\sqrt{x}\right)\right)$

$f\left(x\right)=\ln\:\left(\sqrt[3]{x^2}\right)$

$\frac{d}{dx}\left(x^3\sin\left(y^2\right)+y^2\cos\left(x^3\right)=1\right)$