$\int_0^0\left(4x\sin\left(\pi x^2\right)\right)dx$

$2a^2bc^3-5a^2bc^3-2a^2bc^3$

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

$\frac{tan\left(y\right)\left(tan\left(x\right)+cot\left(y\right)\right)}{tan\left(x\right)}=tan\left(y\right)+cot\left(x\right)$

$\frac{4x^3-2x^2+3x+2}{x-2}$

$24+\infty$

$\int1+\cos^2\left(x\right)dx$