Question

Use the form of the definition of the integral given in theorem 4 to evaluate the integral x^3-3x^2

Answer 1

`\int{(x^(3) - 3x^(2))}\,dx`

`= \int{x^(3)}\,dx - \int{3x^(2)}\,dx`

`= (1)/(4)x^(4) - (3)/(3)x^(3) + C`

`= (1)/(4)x^(4) - x^(3) + C`