$\frac{dy}{dx}=\sin\left(12x-13\right)$

$\int\left(5x^4-2\right)^{\left(\frac{2}{5}\right)}\left(10\right)x^3dx$

$\left(a-3b\right)\left(a+11b\right)$

$\lim_{x\to1}\left(\frac{\sqrt{15-x}-4x^{\frac{1}{4}}}{x^2-5x+4}\right)$

$36v^2+12v+1$

$\sqrt[3]{6^{12}}$

$sin^{2\:}x\:+\:cos^2\:x\:=\:sec^2\:x\:-\:tan^2\:x$