$\left(y+2\right)^2=2\left(x-3\right)$

$\lim_{x\to0}\left(\frac{\tan\left(2ax\right)}{\tan\left(bx\right)}\right)$

$\int15x\sqrt{\left(x+4\right)^3}dx$

$8x^2y-2xy^2+6xy$

$\int\frac{x}{16\left(x^2+2x+4\right)}dx$

$\frac{d}{dx}\left(1+x^2+y^2=\sqrt{x+y}\right)$

$195+85$