$2sin^2\theta\:+2cos^2\theta\:-sin\theta\:cos\frac{15}{17}$

$\lim_{x\to infinity}\left(\sqrt{x^2+ax}\right)$

$0.018-0.18$

$\frac{9x^6y^{10}}{3x^8y^5}$

$x-z^2-2ax+2az^2$

$\int_0^{\infty}\left(\frac{32tan^{-1}\left(4x\right)}{1+16x^2}\right)dx$

$y^{'\:}+\frac{2y}{x}=3e^x$