$\lim_{x\to\infty}\left(\frac{-x^3+3}{x^3+x}\right)^{\left(x^3+1\right)}$

$-7+2-2-8-4$

$y'+9x^{-1}y=2x$

$\ln\left(x-1\right)+\ln\left(x+1\right)=ln\left(x^2+9x+2\right)-\ln\left(x-2\right)$

$a^2w^2-16=0$

$\int_1^k\left(\frac{3}{2}x\right)dx$

$\frac{10}{\pi}\int_0^{\pi}\cos\left(2x\right)dx$