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How can I calculate the integral of associate LegendreP(​1,n,theta)​*cos(theta​)^2 ?

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How can I calculate the integral of associate Legendre function P(1,n,theta)*cos(theta)^2 ?

Accepted Answer

David Goodmanson
David Goodmanson on 7 May 2024
Hello Se,
First of all I think you probably mean the integral of
which is what makes sense when trig functions come into it. This issue has caused a lot of back and forth on your other posted question. Also, this integrand would usually be multiplied by sin(theta) since sin(theta)* dtheta is part of the volume element in spherical coordinates. Are you looking for this integral from ) 0 to pi?

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