$\lim_{x\to-3}\left(\frac{x^3-4x+15}{x^2-x+12}\right)$

$3x^2-8x+-2x^2-x+3$

$\int\frac{\left(4x^3\right)}{\sqrt{9+x^2}}dx$

$\frac{d}{dx}\left(\left(cosx\right)^{x^3}\right)$

$\frac{sinx+sin9x}{2sin5x}=cos4x$

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

$\sqrt[3]{\frac{40x^5y^2}{10x^2y}}$