$\int\left(\sin\left(2x\right)\right)^7\left(\cos\left(2x\right)\right)^2dx$

$x^4+x^3-5x^2+3x$

$z^2-8z=-15$

$c^2+20c+99$

$\frac{3dy}{d\theta\:}=\frac{e^ysin^2\left(\theta\:\right)}{ysec\left(\theta\:\right)}$

$\int\frac{x^2-5x+16}{\left(2x+1\right)\left(x^2-4x+4\right)}dx$

$\frac{6x+36}{x^2+6}$