$\lim_{x\to0}\left(\frac{3x^2+4x}{7x^2-8}\right)$

$\int\frac{y^5}{1-y^4}dx$

$\frac{x}{11}=-7$

$\left(\frac{-8x^2yz^{-2}}{27x^{-4}yz^2}\right)\frac{1}{3}$

$y'\left(t\right)csct=\frac{-y^{11}}{10}$

$\int\left(3x^2+4\right)sin\left(x^3+4x\right)dx$

$\frac{3x^3+2x^2+8+3}{x^2+2x+1}$