Question

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

Answer 1

Apply the power rule:


`\displaystyle\int x^3\,\mathrm dx=\frac{x^4}4+C`

which holds since


`(\mathrm d)/(\mathrm dx)\left[\frac{x^4}4+C\right]=\frac{4x^3}4+0=x^3`