$\int{k.f\left( x \right)dx}=k\int{f\left( x \right)dx}, k e 0$

$\int{\left[ f\left( x \right)+g\left( x \right) \right]dx}=\int{f\left( x \right)dx}+\int{g\left( x \right)dx}$

$\int{f'\left( x \right).{{f}^{3}}\left( x \right)dx=\dfrac{{{f}^{4}}\left( x \right)}{4}+C}$

$\int{f\left( x \right)g\left( x \right)dx=}\int{f\left( x \right)dx}.\int{g\left( x \right)dx}$