$\int\frac{x-1}{\sqrt{4x^2-8x+3}}dx$

$\lim_{x\to0}\left(\ln\left(1+3x\right)\right)^2-\left(2\sin^2x\right)$

$\int\left(3x+5\right)e^{0.2x}dx$

$\int x^2\left(x^3+7\right)^{10}dx$

$\left(\frac{3}{4}a^2+\frac{2}{5}b^3\right)\left(\frac{3}{4}a^2-\frac{2}{5}b^3\right)$

$-8x^{10}y^7+2x^6y^7$

$\frac{\left(x-1\right)}{x^2-4}+\frac{1}{x-2}=\frac{\left(x+4\right)}{x+2}$