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Sifting Property (Dirac Delta), please check these

  1. Apr 27, 2012 #1
    1. The problem statement, all variables and given/known data
    use the sifting property of the dirac delta function to evaluate the following integrals.

    a) integral from -inf to inf sin(t) delta(t-pi/2)dt

    b) integral from 0 to 2 e^(2t) delta(t-1)dt

    c) integral from 0 to pi e^tan(theta) delta(theta- 3pi/4)d(theta)

    d) integral from -inf to inf cos^(2)(theta) delta(theta+y)d(theta)

    2. Relevant equations

    integral from -inf to inf f(x) delta(x-x0)dx=f(x0)

    3. The attempt at a solution

    solutions:

    a) 1
    b) e^2
    c) e^tan(theta)
    d) cos^(2)(y)

    are these solutions correct?
     
  2. jcsd
  3. Apr 27, 2012 #2

    vela

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    Your answer for c is wrong.
     
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