$\int-\:\frac{11x^2}{2\sqrt{5}}\:dx$

$\int_{\sqrt{2}}^2\left(\frac{1}{x^3\sqrt{\left(x^2-1\right)}}\right)dx$

$\frac{1}{csc\:x-cot\:x}=csc\:x+cot\:x$

$xy'+y=\left(x+1\right)^2$

$\int\left(1.3\right)^xdx$

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

$3\frac{dy}{dx}+24y=8$