$4a^2-12a^2b^2+9a^2b^2$

$-\frac{1}{8}y-\frac{3}{8}y$

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

$1+13$

$\lim_{x\to\infty}\left(\frac{\frac{\left(\ln\left(x-1\right)\right)^2}{\left(x-1\right)^{\frac{3}{2}}}}{\frac{1}{\left(x-1\right)^{0.5}}}\right)$

$\int\left(2x+3\right)ln\left(x+1\right)dx$

$\int\left(4x^3+3x+1\right)^5\left(12x^2+3\right)dx$