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Math Help - integrate

  1. #1
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    integrate

    could you plz help!

    can you find in terms of n the 3 possible values of ∫ cos nx dx with limits π and π/2 ?

    Thanks
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  2. #2
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    The integral should be easy enough. Just treat n as a constant and let u = nx. You should get:

    \int_{\frac{\pi}{2}}^{\pi} \cos (nx) \: dx = ... = \frac{1}{n} \left[\sin(n\pi) - \sin \left(\frac{n\pi}{2}\right) \right]

    Are you suppose to find any 3 values that your definite integral can have depending on the value of n? Pick n = an even number, n = an odd number, n = a fraction such as 1/2.
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  3. #3
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    Re:integrate

    the exact quetion is:

    if n is a positive integer, find in terms of n the 3 possible values of





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  4. #4
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    Simply consider n = 1, 2, and 3
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