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Math Help - intergration

  1. #1
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    intergration

    How to integrate this

    (x^2+2x)/(x+1)^2
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  2. #2
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: intergration

    \int \left(1-\frac{1}{(1+x)^2}\right) \, dx
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  3. #3
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    Re: intergration

    man i am gonna need more then that , i have been trying this for hal an hour. would be very help full if you show me the answear with proper workout , thanks mate

    like how did you do what you did above , please explain .
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  4. #4
    Senior Member MaxJasper's Avatar
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    Re: intergration

    Expand n simplify apart
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  5. #5
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    Re: intergration

    Quote Originally Posted by MaxJasper View Post
    Expand n simplify apart
    you mean x^2 +2x/ x^2+2x+1

    therefore x^2 +2x/ x^2+2x cancels
    which leaves you with
    what you mentioned here ?



    Quote Originally Posted by MaxJasper View Post
    \int \left(1-\frac{1}{(1+x)^2}\right) \, dx
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: intergration

    One way to get to the form expressed by MaxJasper is to write:

    \frac{x^2+2x}{(x+1)^2}=\frac{x^2+2x+1-1}{(x+1)^2}=\frac{(x+1)^2-1}{(x+1)^2}=1-\frac{1}{(x+1)^2}
    Thanks from arsenal12345
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