$n^2\left(b^2-1\right)-4\left(b^2-1\right)$

$\ln\left(x\right)+\ln\left(x+3\right)=0$

$\int\left(\frac{5x^2-10x+8}{x\left(x-2\right)\left(x+2\right)}\right)\:dx$

$\int\left(5x^4+12x^3+6x-2\right)dx$

$5^3\cdot4^4$

$\lim_{x\to0}\cos\left(x\right)^{\frac{5}{x^2}}$

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