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anonymous

  • 5 years ago

Integration Question in comment, i don't know how to attach images in a question

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    oooops, i didn't mean dy/dx, i meant the integration sign

  3. anonymous
    • 5 years ago
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    aah - i thought that might be the case

  4. anonymous
    • 5 years ago
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    if there was the correct notification, would that be correct?

  5. anonymous
    • 5 years ago
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    split this up into partial fractions we get INT (1 - 7 ) dx ----- 3(x+3)

  6. anonymous
    • 5 years ago
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    can you continue from there?

  7. anonymous
    • 5 years ago
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    you rresult is not correct

  8. anonymous
    • 5 years ago
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    I don't understand what you have done, where has this 7 and this 3(x+3) came from?

  9. anonymous
    • 5 years ago
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    sorry guy - i copied the question down wrongly - i'll hav e another look at it

  10. anonymous
    • 5 years ago
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    ok, i was a bit worried when a 7 randomly appeared lol thanks for helping me out, im currently revising for an exam :D

  11. anonymous
    • 5 years ago
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    kind of a guess: is it this instead?

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  12. anonymous
    • 5 years ago
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    or...

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  13. anonymous
    • 5 years ago
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    first do long division to obtain INT 1 / 3(3x + 1) + INT 1/3 = 1/3 INT 1/ (3x+1) + x/3

  14. anonymous
    • 5 years ago
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    dividing 3x + 2 by 9x+ 3 gives 1/3 + 1 / (9x+ 3)

  15. anonymous
    • 5 years ago
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    am i right?

  16. anonymous
    • 5 years ago
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    must admit my integration is pretty rusty

  17. anonymous
    • 5 years ago
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    lol, mine too, and i have an exam on it in about 36 hours xD

  18. anonymous
    • 5 years ago
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    I thought that the question would involve natural logs when integrating (like when 1/x is integrated) doesn't it?

  19. anonymous
    • 5 years ago
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    yes - so integrating 1/3 INT 1/ (3x+1) = 1/9 ln| 3x+1| so finally answer is x/3 + 1/9 ln| 3x+1| + C

  20. anonymous
    • 5 years ago
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    yea thats correct - i checked it out on wolframalpha

  21. anonymous
    • 5 years ago
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    ok, thanks for your help :D

  22. anonymous
    • 5 years ago
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    yw

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spraguer (Moderator)
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