$\int\frac{x+1}{\sqrt[3]{x}}dx$

$\left(\frac{1}{3}x^3\right)^3$

$\int\frac{\sqrt{x^2-2}}{x}dx$

$8\sin\left(2x\right)=9\tan\left(x\right)\left(1-\cos^2\left(x\right)\right)$

$\int_{-2}^{-1}\frac{25+30x+3x^2}{x^2\left(x+5\right)}dx$

$\left(-21\right)-\left(-28\right)$

$\frac{dy}{dx}=\frac{e^{-9s}}{s^2+s-6}$