$2\csc\left(a\right)=\frac{\sin\left(a\right)}{1+\cos\left(a\right)}+\frac{1+\cos\left(a\right)}{\sin\left(a\right)}$

$\int\left(5x^3-7\right)^2dx$

$\int e^{ax}\cdot\sin\left(bx\right)dx$

$\frac{8}{25}-\frac{1}{10}\le\frac{7}{10}x+\frac{3}{5}$

$\int e^x\left(1+e^{10}\right)\:dx$

$x^2\frac{dy}{dx}=5x$

$2x^2+8x-5x^3$