Question

Question #eda4a

Answer 1

`int (-x+x^(1/3)+2x^(1/12)) dx = -1/2x^2+3/4x^(4/3)+ 24/13 x^(13/12)+C`

Explanation:

Use the power rule, term by term

`int x^p dx = 1/(p+1)x^(p+1)`

`int (-x+x^(1/3)+2x^(1/12)) dx = -1/2x^2+3/4x^(4/3)+2 * 12/13 *x^(13/12)+C`

`= -1/2x^2+3/4x^(4/3)+ 24/13 x^(13/12)+C`