$\int8te^{7t}\:dt$

$tan\left(t\right)\cdot sec\left(t\right)=\frac{sec^2t-1}{sin\left(t\right)}$

$\int1\cdot sin\left(ln\left(x\right)\right)dx$

$\int\frac{6}{\left(x+16\right)^3\:}dx$

$3x^2+\frac{1}{2}x^3-2xy^3$

$b^2+7b=8$

$30m^3n^4y-45m^2n^3y^2+75mn^2y^3-120n^2y^3z$