Likhit Kaushik posted an Question
July 30, 2021 • 16:27 pm 30 points
  • CSIR NET
  • Physical Sciences

Sin 2x) the principal value of the integral dx is -0 (a)-2t (b) tt (c) tt (d) 2

sin 2x) The principal value of the integral dx is -0 (a)-2T (b) Tt (c) TT (d) 2

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    Bidyut sinha best-answer

    I have given detail calculation in the attached picture.

    cropped418100353.jpg
    cropped403773934.jpg
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    how 2 pi i is coming?

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    -2π.... Because first simplify it to the exponential form... which is exp(2iz)/z3...now expand it... after that obtain residue of this...and then evaluate the integral in such a way that contour will be around zero..then compare with imaginary part..you will get -2π

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