$\lim_{x\to0}\left(\frac{\left(\left(x+a\right)^3-\left(a^3\right)\right)}{2x}\right)$

$\int e^{2x}\cdot\left(x^2-5x\right)dx$

$\:4r^2\:+\:8r\:+\:4$

$\int\:\frac{5}{\left(3x-4\right)^2}dx$

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

$y'+y\cdot cos\left(x\right)=5\cdot cos\left(x\right)$

$\cos\left(x\right)=-\frac{1}{6}$