Question: Plot implicit integral

Hi

I am trying to plot E as a function of t for a following implicit integral equation:

(int(sqrt((1-(1-E^2)*(sin(x))^2)/(1-(1-E^2)*t^2*(sin(x))^2)),x=0..pi/2))=0

I am using implicitplot, but apparently it loops until infinity and not give any answer.

I tried also to change the integral boundaries to x=0.1..1.55 with no result.

 

I'll appreciate any help

 

Mark

PhD student, IIT

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