Question

Calculus question... I need help understanding thanks.
Calculate Гx^3dx

Answer 1

Apply the power rule:

$\displaystyle\int x^3\,\mathrm dx=\dfrac{x^4}4+C$

which holds since

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac{x^4}4+C\right]=\dfrac{4x^3}4+0=x^3$