- #1

n77ler

- 89

- 0

## Homework Statement

Evaluate

[tex]\oint x^2 (1-x^3)^6 dx[/tex]

## Homework Equations

## The Attempt at a Solution

let u= 1-x^3

du= -3x^2

-1/3 du= x^2 dx

-1/3 [tex]\oint (u)^6 [/tex]

= -1/3 (u^7/7)

= -1/21 (1-x^3)^7 + C

Is this done correct? I think I followed all the right steps but there is something about it that has me wondering.