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BecomeMyFan=D

  • 4 years ago

A simple integration prob

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

  2. BecomeMyFan=D
    • 4 years ago
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    :)

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

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

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

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

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

  8. sstarica
    • 4 years ago
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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

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

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

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

  12. mstud
    • 4 years ago
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    Yes, checked it digitally ^.^

  13. sstarica
    • 4 years ago
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    do you know the steps? ^_^

  14. sstarica
    • 4 years ago
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    oh! got it! partial fractions! ^_^

  15. mstud
    • 4 years ago
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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

  16. BecomeMyFan=D
    • 4 years ago
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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

  17. mstud
    • 4 years ago
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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...

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

  19. sstarica
    • 4 years ago
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    oh no, my answer vanished :(

  20. sstarica
    • 4 years ago
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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 .

  21. sstarica
    • 4 years ago
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    ^_^

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