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anonymous

  • one year ago

integration help

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  1. anonymous
    • one year ago
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    |dw:1442933005067:dw|

  2. anonymous
    • one year ago
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    so far this is what i have done|dw:1442933049561:dw|

  3. FireKat97
    • one year ago
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    thats not quite right, but you're on the right track with the substiution

  4. anonymous
    • one year ago
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    now im thinking of doing this let me know if im right|dw:1442933185892:dw|

  5. anonymous
    • one year ago
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    @FireKat97 how would you solve it

  6. Empty
    • one year ago
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    |dw:1442933436297:dw|

  7. FireKat97
    • one year ago
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    wow Im lagging like crazy right now

  8. IrishBoy123
    • one year ago
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    looks ok 4x - 48 + 48

  9. anonymous
    • one year ago
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    me 2 laggin so bad. @Empty i did a long division

  10. IrishBoy123
    • one year ago
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    \[\dfrac{4x}{x-12}=\dfrac{4x-48+48}{x-12} = 4 + \dfrac{48}{x-12}\]

  11. anonymous
    • one year ago
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    @IrishBoy123 does my u and du ok and taking the constant 48 outside the integral a right move?

  12. anonymous
    • one year ago
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    @ganeshie8 can u help out plz

  13. anonymous
    • one year ago
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    rhe answer should be 4x+48ln(|x-12|)+c

  14. FireKat97
    • one year ago
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    oh one sec

  15. FireKat97
    • one year ago
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    omg I made the stupidest mistake ever lol its 1 am

  16. anonymous
    • one year ago
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    :D

  17. FireKat97
    • one year ago
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    Ill write it up again hehe

  18. anonymous
    • one year ago
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    alright step by step plz so i can understand how you solve it :D

  19. FireKat97
    • one year ago
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    sure :)

  20. FireKat97
    • one year ago
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    hang on, I keep getting 4x + 48ln(x -12) - 48 + C

  21. FireKat97
    • one year ago
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    but the -48 is a constant and so is C, so could they possibly have just replaced the (C -48) with a C?

  22. FireKat97
    • one year ago
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    because it is a constant.... omggg

  23. anonymous
    • one year ago
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    |dw:1442935114878:dw|

  24. FireKat97
    • one year ago
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    Yup thats what I got too

  25. FireKat97
    • one year ago
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    this is how I did it incase you wanted to see

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  26. FireKat97
    • one year ago
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    wait no, the 48 isn't meant to multiply by the 4...

  27. anonymous
    • one year ago
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    |dw:1442935301328:dw|

  28. anonymous
    • one year ago
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    i think u break it into 2 different integral since we are adding

  29. FireKat97
    • one year ago
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    yeah that looks right

  30. IrishBoy123
    • one year ago
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    \[\int \dfrac{4x}{x-12}=\int \dfrac{4x-48+48}{x-12} \\ = \int 4 + \dfrac{48}{x-12} = \int 4 + \int \dfrac{48}{x-12} \\ = 4x + 48 ln(x-12) + C\] \[\checkmark\]

  31. anonymous
    • one year ago
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    Thanks @IrishBoy123 and @firelord for the help.. really appreciated it

  32. FireKat97
    • one year ago
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    :)

  33. IrishBoy123
    • one year ago
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    yes but C - 48 = C', ie new constant and you get same answer

  34. anonymous
    • one year ago
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    i got 2 more problems if you dont mind ill open a new thread and help me out :D

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