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BecomeMyFan=D Group Title

A simple integration prob

  • 3 years ago
  • 3 years ago

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  1. BecomeMyFan=D Group Title
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    \[\int\limits_{}^{}(5x ^{3}+9x-4)/(x(x-1)(x ^{2}+4))\]

    • 3 years ago
  2. BecomeMyFan=D Group Title
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    :)

    • 3 years ago
  3. BecomeMyFan=D Group Title
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    oh forgot a dx at the very end

    • 3 years ago
  4. BecomeMyFan=D Group Title
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    I am SO sorry

    • 3 years ago
  5. sstarica Group Title
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    lol it's alright I got what you mean, writing it on paper now :)

    • 3 years ago
  6. BecomeMyFan=D Group Title
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    I am so jealous of you guys who understand calculus :(

    • 3 years ago
  7. mstud Group Title
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    \[-13\ln|(x+2)|/3+10\ln|x-1|/3+\ln|x|+c\]

    • 3 years ago
  8. sstarica Group Title
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    but you can understand calculus if you want to ^_^ all you have to do is learn it and practice to add up the skills

    • 3 years ago
  9. mstud Group Title
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    The whole thing inf front of the slash is divided

    • 3 years ago
  10. sstarica Group Title
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    that was quick mstud, you sure of your answer? :)

    • 3 years ago
  11. sstarica Group Title
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    and andy , you can do well in mathematics just as you do well with computers ^_^, you're smart

    • 3 years ago
  12. mstud Group Title
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    Yes, checked it digitally ^.^

    • 3 years ago
  13. sstarica Group Title
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    do you know the steps? ^_^

    • 3 years ago
  14. sstarica Group Title
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    oh! got it! partial fractions! ^_^

    • 3 years ago
  15. mstud Group Title
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    Sorry I copied the integral from this webpage, before I solved it, so my answer was wrong, because x^3 was then x*3. The correct answer is: \ln(x^2+4)+2\ln(abs(x-1))+3arcTan(x/2)/2+\ln(abs(x))+c

    • 3 years ago
  16. BecomeMyFan=D Group Title
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    i guess i am just lazy to learn it... but then sooner or later i will have to learn it in university

    • 3 years ago
  17. mstud Group Title
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    If you want to see the solution, just visit WolframAlpha.com and plug in integrate (the expression), so I don't have to write it here with this terrible equation editor...

    • 3 years ago
  18. mstud Group Title
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    And maybe my solution here would get full of errors anyway ;_)

    • 3 years ago
  19. sstarica Group Title
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    oh no, my answer vanished :(

    • 3 years ago
  20. sstarica Group Title
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    and I got in the end: ln|x| + 2 ln|x -1| + 3/2 S (3/2x+1)/(x^2+4)dx you'll have to integrate the last part once more then add it up with the others .

    • 3 years ago
  21. sstarica Group Title
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    ^_^

    • 3 years ago
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