## anonymous 3 years ago integrate -x(1+2x)^5 dx by parts

1. hartnn

do we "have to" integrate by parts ? because a simple substitution will make this integral lot easier to solve

2. anonymous

yes the question requires it to be solve by parts.

3. hartnn

so, do you know integration by parts ? have u tried this ?

4. anonymous

Going with the sub first would probably help make the by-parts-integration less messy.

5. anonymous

i've tried it before but now i forgot from where i should start :( @hartnn

6. hartnn

do you know the formula for integrating by parts ? (actually there are 2 equivalent formulas, and i wanna know which one do u use)

7. anonymous

integrate udv = uv - integrate vdu

8. hartnn

so whats your choice of u and dv ?

9. anonymous

idk i tried both i i ciuld find the answers T.T

10. anonymous

*couldnt

11. anonymous

12. anonymous

did you get it now ?

13. anonymous

yes thank you so much @sami-21

14. .Sam.

@sami-21 From $-\frac{x(1+2x)^6}{12}+\frac{1}{12}\int\limits(1+2x)^6 dx \\ \\ -\frac{x(1+2x)^6}{12}+\frac{1}{12}(\frac{(1+2x)^7}{7(2)})+c \\ \\ -\frac{x(1+2x)^6}{12}+\frac{(1+2x)^7}{168}+c$

15. anonymous

i missed the 2 ! thnx @.Sam. for clarification.

16. anonymous

yes i got it thank you :)