$\int\:\:e^{2x+3y}dx$
$\frac{\sec\left(x\right)}{\cos\left(x\right)}=\frac{1}{\cos^2\left(x\right)}$
$9\left(x+1\right)\frac{dy}{dx}-8y=8x$
$\left(2x^2+5\right)\left(x^2-2\right)\left(x+4\right)$
$dy-6xdx=0$
$x^2+24x+143$
$\left(2y+9\right)\left(2y+7\right)$
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