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

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

Answer 1

[David Goodmanson]

Hello Se,

First of all I think you probably mean the integral of

P(1,n,cos(theta))*cos(theta)^2

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?

[Shreen El-Sapa]

Yes