$\int4x^3\left(x^2+2\right)^5dx$

$-\frac{53}{8}+\frac{40x^4+90x^2-93x+289}{8\left(2x^2-x+5\right)}$

$\frac{\csc\left(a\right)}{1+\cot\left(a\right)}$

$\frac{dy}{dt}+6y=-e^t$

$2.\left(x-3\right)-\left(2x^3+\frac{2}{3}x\right):\left(x-3\right)$

$\frac{x^3-2x^2-33x-90}{x-6}$

$\frac{dy}{dx}\left(y=10^{ln3t}\right)$