$\int\left(2x+3\right)^{\frac{1}{2}}dx$

$-x\sqrt{75x}$

$\int\left(\frac{x^2-3x+1}{x^2-2x-3}\right)dx$

$a^5.\:a^3\:=a^{15}$

$x^4+4x^3+5x^2-6x-4$

$\lim_{x\to0}\left(\frac{e^n-e^{-n}}{sin\left(x\right)}\right)$

$\int_0^{\frac{3\pi}{4}}\left(2\sin\left(x\right)\right)dx$