Question

integrate -x(1+2x)^5 dx by parts

Answer 1

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

Answer 2

yes the question requires it to be solve by parts.

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

integrate udv = uv - integrate vdu

Answer 8

so whats your choice of u and dv ?

Answer 9

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

Answer 10

*couldnt

Answer 11

did you get it now ?

Answer 12

yes thank you so much @sami-21

Answer 13

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

Answer 14

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

Answer 15

yes i got it thank you :)