I have an equation

  T = integral from a to b of sqrt(1+A*sin^2(x)) dx

where I know T, a, and b, but I don't know A. Can I use Sage to solve
this?

(I happen to know that A is close to zero, so I can replace the
integrand by a Taylor polynomial (in terms of A) and then integrate
that, but is there another way?)

--
John

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