What is the integral from 0 to 2pi of 1/(1+sin^2(x)) ?

The integral from 0 to 2pi of 1/(1+sin^2(x)) is 4.44288…

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integral from 0 to 2pi of 1/(1+sin^2(x))

\int_{0}^{2 π} \frac{1}{1 + sin ^{2} ( x )} d x

4.44288 \dots

Solution steps

\int_{0}^{2 π} \frac{1}{1 + sin ^{2} ( x )} d x

Evaluating using numerical calculation methods

= 4.44288 \dots

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What is the integral from 0 to 2pi of 1/(1+sin^2(x)) ?
The integral from 0 to 2pi of 1/(1+sin^2(x)) is 4.44288…