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Math Help - kindly explain me solution of integration

  1. #1
    Member moonnightingale's Avatar
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    kindly explain me solution of integration

    Kindly explain me this solution in detail
    I have attached the three questions. I will be highly greatful if anyone of you explain me these solutions in Detail. Thaks a lot

    kindly explain me solution of integration-question-1.jpg

    kindly explain me solution of integration-question-2.jpg
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by moonnightingale View Post
    Kindly explain me this solution in detail
    I have attached the three questions. I will be highly greatful if anyone of you explain me these solutions in Detail. Thaks a lot

    Click image for larger version. 

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    \cos^2(2 \pi f_0 t) = (\cos(4 \pi f_0 t)+1)/2

    then as \cos is symetrical in all sorts of ways the right hand side will integrate up to half the area eonclosed in the rectangle enclosing the curve, which has height 1 and length T_0.

    (Draw a picture of the curve, it will then be obvious)

    CB
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by moonnightingale View Post
    Kindly explain me this solution in detail
    I have attached the three questions. I will be highly greatful if anyone of you explain me these solutions in Detail. Thaks a lot

    Click image for larger version. 

Name:	question 1.JPG 
Views:	20 
Size:	32.6 KB 
ID:	12939

    Click image for larger version. 

Name:	question 2.JPG 
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    (b) is a direct consequence of (a) (multiply the integral in (a) by T_0 to get that in (b)

    CB
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