What is the integral from 0 to 2pi of 1/(2+cos(θ)) ?

The integral from 0 to 2pi of 1/(2+cos(θ)) is 3.62759…

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integral from 0 to 2pi of 1/(2+cos(θ))

\int_{0}^{2 π} \frac{1}{2 + cos ( θ )} d θ

3.62759 \dots

Solution steps

\int_{0}^{2 π} \frac{1}{2 + cos ( θ )} d θ

Evaluating using numerical calculation methods

= 3.62759 \dots

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What is the integral from 0 to 2pi of 1/(2+cos(θ)) ?
The integral from 0 to 2pi of 1/(2+cos(θ)) is 3.62759…