$6x\left(x^2-2\right)^2\cdot\left(x^3-2\right)^2$

$5\left(\frac{dy}{dt}\right)-y=e^{\frac{t}{6}}$

$\frac{3x^{\:6}-15x^2+8x^5-2x+5}{x+2}$

$\int x\cdot\cos\left(8x\right)dx$

$\left(\sqrt{x+y}\cdot\sqrt{x-y}\right)$

$\int e^x\arctan\left(e^x\right)dx$

$\int\left(x-1\right)\cdot\left(x^2-2x\right)^4dx$