Soumi posted an Question
January 05, 2020 • 02:49 am 15 points
  • CSIR NET
  • Physical Sciences

I the second step of the integration, how is the '5' coming? please explain

LOO Ex. By transforming to a triple integral evaluate Ex. 1= x°dydz + x°ydzdx + x z dx dy where S is the closed surface bounded by the planes z = - 0, z = b and the oyinte olume inte Sol. By divergence theorem, the required sunace integral l is equal to the )r)a)av Z - 3x+x +x ) dxdydz = 4x5. dxdydz 20 rx z-0 y--a x= -203 dydz 20 3/2 dydz x=0 - dy b(a' -v)" dy 3 Put y= a sin t so that y=0 dy = a cos t dt =ba' cos' t(a cost) dt=20 ab020114 21 3 7 Contact Us: Website: www.eduncle.com

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    Paltu Sen best-answer

    the integrand is (3x²+x²+x²) which equals 5x². the factor 5 comes from 5x².

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