What is the integral from 0 to pi of sqrt(1-sin(x)) ?

The integral from 0 to pi of sqrt(1-sin(x)) is 1.65685…

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integral from 0 to pi of sqrt(1-sin(x))

\int_{0}^{π} 1 - sin (x) d x

1.65685 \dots

Solution steps

\int_{0}^{π} 1 - sin (x) d x

Evaluating using numerical calculation methods

= 1.65685 \dots

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\int_{0}^{3} (3 - 2 x + 3 x^{2}) d x

\int_{- 2}^{1} ∣ x - 1 ∣ d x

\int_{0}^{1} 9 cos (x^{2}) d x

\int_{2}^{3} 1 + x^{2} d x

What is the integral from 0 to pi of sqrt(1-sin(x)) ?
The integral from 0 to pi of sqrt(1-sin(x)) is 1.65685…