$\sin^2\left(y\right)=1-\cos^2\left(y\right)$

$-6=\frac{n}{2}-10$

$xyln\left(y\right)dx-\left(x-1\right)^{-\frac{1}{2}}dy=0$

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

$\lim_{x\to\infty}\left(\frac{\left(log\:x\right)^{10}}{x^e}\right)$

$\int_5^8\left(2x\right)dx$

$\sin\left(x+b\right)+\sin\left(x-b\right)=2\sin\left(x\right)\cos\left(b\right)$