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Math Help - integration problem

  1. #1
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    integration problem

    how to integrate y=(1+sin2x)/(cosx+sinx)between x=0 and x=45(in degrees)
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  2. #2
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    Quote Originally Posted by prasum View Post
    how to integrate y=(1+sin2x)/(cosx+sinx)between x=0 and x=45(in degrees)
    Prove the following identity: \frac{1 + \sin (2x)}{\cos (x) + \sin (x)} = \cos (x) + \sin (x).

    Now the integration is trivial.
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    thanks for the suggestion. please tell me how to prove the identity
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  4. #4
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    Quote Originally Posted by prasum View Post
    thanks for the suggestion. please tell me how to prove the identity
    \frac{1+sin(2x)}{cosx+sinx} \times \frac{cosx+sinx}{cosx+sinx}

    Now simplify.

    I hope you know that sin2x = 2sinx.cosx
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