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I'm told that this integration can't be solved, can it ?
ʃ dx/(sin (x) . exp((csc x)^2)
ʃ dx/(sin (x) . exp((csc x)^2)
custer said:I'm told that this integration can't be solved, can it ?
ʃ dx/(sin (x) . exp((csc x)^2)
squidsoft said:Make it so. Suppose that was all you were told. What would you do? Numerically counts as "solved" in my book. How about a power series? Can I use that (in principle) and integrate over it's radius of convergence? Ain't that a "solution"? Find a way . . . try. That's what math is about. :)
f[x_] := 1/(Sin[x]*Exp[Csc[x]^2]);
tay[x_] := Normal[Series[f[x],
{x, Pi/2, 25}]]
cus[x_] = Integrate[tay[x], x]
N[cus[3*(Pi/4)] - cus[Pi/4]]
NIntegrate[f[x], {x, Pi/4, 3*(Pi/4)}]