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

The integral from 0 to 2pi of sqrt(1+sin(θ)) is 5.65685…

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integral from 0 to 2pi of sqrt(1+sin(θ))

\int_{0}^{2 π} 1 + sin (θ) d θ

5.65685 \dots

Solution steps

\int_{0}^{2 π} 1 + sin (θ) d θ

Evaluating using numerical calculation methods

= 5.65685 \dots

\int_{- 2}^{0} 5 x^{4} - 3 x^{2} + x - 3 d x

\int_{- π}^{π} sin^{4} (x) cos (x) d x

\int_{0}^{10} 5 x - 3 d x

\int_{0}^{1} (e^{t} + e^{- t}) d t

\int_{1}^{4} 9

What is the integral from 0 to 2pi of sqrt(1+sin(θ)) ?
The integral from 0 to 2pi of sqrt(1+sin(θ)) is 5.65685…