$\frac{dy}{dx}y=log2\left(\sqrt{x}\right)$

$\int\csc^{2}\theta\sec\thetad\theta$

$\lim_{x\to\infty}\left(\frac{\sqrt{x+1}-1}{\sqrt[3]{x+1}-1}\right)$

$\left(\frac{1}{2}x+5\right)^3$

$\int\left(\left(x+2\right)\cdot\left(x^2+4x+1\right)^4\right)dx$

$\:34+5-17+2\left(-5\right)$

$\sec\left(x\right)\csc\left(x\right)=\sin\left(x\right)\sec\left(x\right)+\cot\left(x\right)$