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Math Help - Integration

  1. #1
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    Integration

    Hi, I would really appreciate it if someone can help with this:

    Let A denote the value of the integral

    integral_0^(pi) cos(x)/ (x+2)^2 dx (From 0 to pi)

    Compute the following integral in terms of A:

    integral_0^(pi/2) (sinx cosx)/ (x+1) dx.

    Thank you.
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  2. #2
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    Quote Originally Posted by RB06 View Post
    Hi, I would really appreciate it if someone can help with this:

    Let A denote the value of the integral

    integral_0^(pi) cos(x)/ (x+2)^2 dx (From 0 to pi)

    Compute the following integral in terms of A:

    integral_0^(pi/2) (sinx cosx)/ (x+1) dx.

    Thank you.
    Are you sure you have a square in the denominator in first integral?

    Maybe you really mean:

    integral_0^(pi) cos(x)/(x+2) dx

    If so, I have a way to do it.
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  3. #3
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    Hi, sorry for the long delay.

    Yes, as a matter of fact, the square is not supposed to be there. If u still have a way to do it, I will like to see it.
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  4. #4
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    Quote Originally Posted by RB06 View Post
    Hi, sorry for the long delay.

    Yes, as a matter of fact, the square is not supposed to be there. If u still have a way to do it, I will like to see it.
    Can you check the problem again.
    Is there a cosine in the first one.
    Is the denominator (x+2) or (x+1)?

    I remember I did it, but I threw the paper away. I am beginning to think that I did a different problem.
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