$\int_0^3x\left(2x^2-1\right)dx$

$\frac{dy}{dx}-y=7e^x$

$xy^'+4y=x^3-x$

$\lim_{t\to0}\left(\frac{\left(e^{at}-1\right)}{\sqrt{te}}-e^a\right)$

$\:\left(2x+40\right)$

$\int_{-10}^{-8}\left(\frac{9}{\left(x+9\right)^{\frac{8}{11}}}\right)dx$

$\int\frac{x^2+2x}{x\left(x+1\right)^2}dx$