trying to integrate:
(1+B*(Sin x)^2)^(1/2)
do i start with a trig sub?

Question

trying to integrate:
 (1+B*(Sin x)^2)^(1/2)
do i start with a trig sub?

anonymous · Answer

ellipsoid integrals have no solution.

anonymous · Answer

it calculates perimeter of ellipsoid

experimentx · Answer

elliptical integral :(

anonymous · Answer

|dw:1339625117024:dw|

anonymous · Answer

I used to calculate perimeter of ellipsoid with two diamonds in figure of above but forgot the formula so offer to you to do that.

anonymous · Answer

I remember that the tangent diamond (larger one) has perimeter near to ellipsoids.

anonymous · Answer

thanks. with your help i looked up some of the solutions for elliptical integrals (i had heard of them but never studied them).  my problem seems to fall under 'elliptic integrals of the second kind'  and there is a series approximation which i think i can use.
also, l like your diamond approximation for the perimeter.  i may use that in the future.

anonymous · Answer

Yes there are many ways to find it out with numerical analysis also but that diamond gives you a close formula by a,b . Have fun.