## anonymous 3 years ago integrate x^1/3 (x+3)^2

1. Mimi_x3

$\int x^{1/3}*(x+3)^2dx$??

2. anonymous

yes!

3. Mimi_x3

there's two methods either expand it out or use u-sub

4. anonymous

i would expand because it is easiest

5. Mimi_x3

yeah but it wont look nice..

6. anonymous

is the answer 3/10x^10/3 + 18/7x^7/3 + 27/4x^4/3 + C ? or did i do something wrong? can you show me the working pls? by expanding it @Mimi_x3

7. Mimi_x3

http://www.wolframalpha.com/input/?i=integrate+x%5E1%2F3+%28x%2B3%29%5E2 expanding is easy; just simple algebra then integrate one by one