$\int\:x\:e^{15x}\:dx$

$\left(2x-1\right)\left(3x+2\right)+\left(4x+3\right)\left(x-2\right)$

$-\sqrt[3]{2x^2}.\sqrt[3]{8x^5}$

$\frac{x^2-5x+2}{x+1}$

$\int_1^0\left(\frac{x^3}{x^2+x+1}\right)dx$

$\left(\sec\left(b\right)+1\right)\left(\sec\left(b\right)-1\right)=\tan^2\left(b\right)$

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