$\frac{5}{6}\left(3-x\right)-\frac{1}{2}\left(x-4\right)\ge\frac{1}{3}\left(2x-3\right)$

$4tx\:\frac{dx}{dt}=x^2+1$

$\int_5^{\frac{1}{x}}\left(arctan\left(6t\right)\right)dt$

$-845+350-1235$

$\int x\cdot e^{a\left(t-x\right)}dx$

$\left(a^3+2ab-5a^2b-17a^5b\right)\left(9a^7b^5\right)$

$\int\sin\left(2x+1\right)\cdot\cos\left(2-3x\right)dx$