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Thread: Integration

  1. #1 Integration 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    how would you integrate;


    i get how to arrange it e.g thereby and but the thing is i dont know how to integrate
    and also;



    i know the general formula for solving this;

    =

    this is not homework, its just the last two parts f) g), the rest i solved, but i cant solve this one, im still working on it though. Thanks if anyone can help me out.


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  3. #2 Re: Integration 
    Forum Professor wallaby's Avatar
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    Quote Originally Posted by Heinsbergrelatz
    i get how to arrange it e.g thereby and but the thing is i dont know how to integrate
    ignore me if it was just a typo, however by setting u=1 and v'= arctan(x) you have simply rewritten the problem in terms of extra variables.

    Try integrating for v' = 1 and u = arctan(x).


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  4. #3  
    Forum Ph.D. Heinsbergrelatz's Avatar
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    ignore me if it was just a typo, however by setting u=1 and v'= arctan(x) you have simply rewritten the problem in terms of extra variables.

    Try integrating for v' = 1 and u = arctan(x).
    you are in fact right, i made a mistake, switching them in position will perfectly fine. because we can differentiate the and the integration of becomes

    then the result will be;



    the integration is now possible using the substitution, thanks
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