$\lim_{x\to-5}\left(\frac{5x^2+24x-5}{+5x}\right)$

$\lim_{x\to\infty}\left(\left(x^2+2x+1\right)sin\left(\frac{4}{\left(x+1\right)^2}\right)\right)$

$\frac{dy}{dx}\left(ay+bx=by-ax+\left(x+y\right)\sqrt{a^2-b^2}\right)$

$\int9x^2e^{2x}dx$

$x^2+4x+4+x^2-8x+16-x^2+3x$

$\int x\left(\pi^2-1\right)dx$