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shaqadry

  • 3 years ago

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

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

  2. shaqadry
    • 3 years ago
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    yes the question requires it to be solve by parts.

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

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

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

  6. hartnn
    • 3 years ago
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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)

  7. shaqadry
    • 3 years ago
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    integrate udv = uv - integrate vdu

  8. hartnn
    • 3 years ago
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    so whats your choice of u and dv ?

  9. shaqadry
    • 3 years ago
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    idk i tried both i i ciuld find the answers T.T

  10. shaqadry
    • 3 years ago
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    *couldnt

  11. sami-21
    • 3 years ago
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  12. sami-21
    • 3 years ago
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    did you get it now ?

  13. shaqadry
    • 3 years ago
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    yes thank you so much @sami-21

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

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

  16. shaqadry
    • 3 years ago
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    yes i got it thank you :)

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