\int \frac{3x+11}{x^2-x-6}dx
\frac{d}{dx}x^{e^x}
\lim _{x\to 0}\frac{\sin \left(x\right)}{x}
\int 7^{2x+3}dx
\frac{d}{dx}\left(\frac{\sin ^2(x)}{\cos ^2(x)}\right)
\lim _{x\to \:3}\frac{x^4-81}{2x^2-5x-3}
\int \frac{\cos(x)}{1+\sin^2(x)}
\frac{d}{dx}\frac{\sqrt{x}}{2x+3}
\lim_{x\to 0}\frac{9-\sqrt{81-5x}}{x}
