Calc 2 Intergration

cricket21

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Jan 29, 2013
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In electromagnetic theory, the magnetic potential
a7ced8d34dfd7d9dc8d6ffd8fbc7ea1.png
at a point on the axis of a circular coil is given by

ac7af23cae97018defa0920dbd02dc1.png


where
5d967b50621036af2fa30988a5e2621.png
are constants. Compute
a7ced8d34dfd7d9dc8d6ffd8fbc7ea1.png
.


I know
u = r tanx, du = r sec^2x dx

r^2 + x^2 = r^2 + r^2 * tan^2 x = r^2 (1 + tan^2 x) = r^2 * sec^2 x

Integration r sec^2 x dx / (r^(3/2) (sec^3 x ) = Integral of 1/sqrt(r) * cos x dx

Further assistance would be helpful thanks
 
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