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

$\sqrt{3}x+6=6$

$\int\left(\frac{5x}{5x+3}\right)dx$

$20\:+\:\left(-9\right)\:-\:\left(-16\right)$

$\int\left(2x\left(x^2+4\right)^9\right)dx$

$\frac{du}{dt}=e^{2u+3t};\:u\left(0\right)=3$

$\left(x+2y\right)^2-\left(x+2y\right)^3$