$\int\:\left(\frac{1}{1-v}-\frac{1}{\left(v-1\right)^3}\right)dv$

$\int\left(2x^3-1\right)^3\left(6x^2\right)dx$

$y'\:=\:e^{\left(x-3y\right)}$

$\int cos^9\left(x\right)dx$

$\log\left(9\right)=\log\left(x+8\right)-\log\left(5\right)$

$\left(-8\right)\cdot\left(-54\right)+15$

$16\:x^2\:-\:48\:x\:+\:64$