$\int\left(x-1\right)e^{2x}dx$

$\int\frac{3x}{\left(x^2+x-12\right)}dx$

$-5\left(-2\right)^2-3$

$\log\left(x\right)-\frac{1}{2}\log\left(x+1\right)-\log\:\left(x-1\right)=\log\:\left(\frac{x\sqrt{x+1}}{x^2-1}\right)$

$6x^5+3x^2n+nx$

$\frac{d}{dx}y=\frac{2}{5}\cos6x^2$

$-\cos\left(x^2\right)-\cos\left(x^2\right)$