$\int_6^8\left(\frac{6}{\left(x-6\right)^3}\right)dx$

$-7-0.5-4$

$\int\left(\frac{1}{\left(9x^2+1\right)^{\frac{3}{2}}}\right)dx$

$\frac{54}{9}+60$

$\cos\left(x\right)+\frac{\sin\left(x\right)}{\sin\left(x\right)}=\:1\:+\:\frac{1}{\tan\left(x\right)}$

$\int x^2e^{-1}\:dx$

$\frac{6x^2-33x-120}{3}$