$\left(2x+5\right)dy-10\:ydx=0$

$\int\frac{lntx}{e^2}dx$

$\int_0^2\left(\left(8\left(\frac{1}{2}\right)-3\left(\frac{2}{3}\right)\right)\right)dx$

$6x^2y+9xy$

$\lim_{x\to\infty}\left(\frac{3x-1}{5^{2x+1}}\right)$

$57-\left(-21\right)$

$\int_2^4\frac{\sqrt{x^2-1}}{x}\:dx$