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



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

shaqadry
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yes the question requires it to be solve by parts.

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

SithsAndGiggles
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Going with the sub first would probably help make the bypartsintegration less messy.

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

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

shaqadry
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integrate udv = uv  integrate vdu

hartnn
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so whats your choice of u and dv ?

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

shaqadry
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*couldnt

sami21
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sami21
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did you get it now ?

shaqadry
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yes thank you so much @sami21

.Sam.
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@sami21 From
\[\frac{x(1+2x)^6}{12}+\frac{1}{12}\int\limits(1+2x)^6 dx \\ \\ \frac{x(1+2x)^6}{12}+\frac{1}{12}(\frac{(1+2x)^7}{7(2)})+c \\ \\ \frac{x(1+2x)^6}{12}+\frac{(1+2x)^7}{168}+c\]

sami21
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i missed the 2 !
thnx @.Sam. for clarification.

shaqadry
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yes i got it thank you :)