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shaqadry

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

  • one year ago
  • one year ago

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

    • one year ago
  2. shaqadry
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    yes the question requires it to be solve by parts.

    • one year ago
  3. hartnn
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    so, do you know integration by parts ? have u tried this ?

    • one year ago
  4. SithsAndGiggles
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    Going with the sub first would probably help make the by-parts-integration less messy.

    • one year ago
  5. shaqadry
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    i've tried it before but now i forgot from where i should start :( @hartnn

    • one year ago
  6. 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)

    • one year ago
  7. shaqadry
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    integrate udv = uv - integrate vdu

    • one year ago
  8. hartnn
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    so whats your choice of u and dv ?

    • one year ago
  9. shaqadry
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    idk i tried both i i ciuld find the answers T.T

    • one year ago
  10. shaqadry
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    *couldnt

    • one year ago
  11. sami-21
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    • one year ago
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  12. sami-21
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    did you get it now ?

    • one year ago
  13. shaqadry
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    yes thank you so much @sami-21

    • one year ago
  14. .Sam.
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    @sami-21 From \[-\frac{x(1+2x)^6}{12}+\frac{1}{12}\int\limits(1+2x)^6 dx \\ \\ -\frac{x(1+2x)^6}{12}+\frac{1}{12}(\frac{(1+2x)^7}{7(2)})+c \\ \\ -\frac{x(1+2x)^6}{12}+\frac{(1+2x)^7}{168}+c\]

    • one year ago
  15. sami-21
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    i missed the 2 ! thnx @.Sam. for clarification.

    • one year ago
  16. shaqadry
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    yes i got it thank you :)

    • one year ago
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