$12x^6+\:27x^4$

$-3x^{x+1}+2x^{x+1}-a^{x+1}+2a^{x+1}$

$y=\sin^5\left(6x+4\right)$

$\frac{\left(\tan\left(x\right)-\cot\left(x\right)\right)}{\tan\left(x\right)+\cot\left(x\right)}=2\sin^2x-1$

$\left(r^2\:-\:s^2\right)^3$

$\int_1^2\left(\frac{\sqrt{9-x^2}}{x^2}\right)dx$

$\int\frac{1}{\left(x+9\right)^2}dx$