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Math Help - Integration problem calculus

  1. #1
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    Integration problem calculus

    Hi, I needed some help with this math problem. A solution would be really appreciated.

    If , then there is a unique real number such that






    Express as a rational function of and .
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  2. #2
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    Re: Integration problem calculus

    Quote Originally Posted by danny88 View Post
    , then there is a unique real number such that

    Express as a rational function of and .

    Hints: you have \arctan(x)+\arctan(y)=\arctan(z)

    So \tan(a+b)=z
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  3. #3
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    Re: Integration problem calculus

    I really don't get the next step
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  4. #4
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    Re: Integration problem calculus

    Quote Originally Posted by danny88 View Post
    I really don't get the next step

    What is \tan(a+b)=$
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  5. #5
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    Re: Integration problem calculus

    sin(A+B)/cos(A+B)
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  6. #6
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    Re: Integration problem calculus

    Quote Originally Posted by danny88 View Post
    sin(A+B)/cos(A+B)

    That does you no good!

    \tan(a+b)=\frac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}.

    Clearly a=\arctan(x).

    If you are still confused, then it is time to leave this site and seek live instruction from your instructor.
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  7. #7
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    Re: Integration problem calculus

    Thank you
    Last edited by danny88; January 31st 2013 at 03:26 PM.
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