$\int\left(2x-5\right)\ln\left(x\right)dx$

$2x+\frac{3}{4}x+\frac{1}{4}x+x-\frac{5}{6}x$

$\left(x^3+5x^2-2\right)\frac{1}{2}e^{2x}-\frac{3}{4}e^{2x}x^2+5x^2$

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

$\sin^2\left(x\right)\cot\left(x\right)=\cos^2\left(x\right)$

$2a^3-2b^3$

$\frac{dy}{dx}\left(\frac{xy}{xy^2+2xy}\right)$