What is the integral of sqrt(sin^2(x)) ?

The integral of sqrt(sin^2(x)) is -cos(x)+C

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integral of sqrt(sin^2(x))

\int sin^{2} (x) d x

- cos (x) + C

Solution steps

\int sin^{2} (x) d x

sin^{2} (x) = (sin (x)),

assuming

sin (x) \geq 0

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

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What is the integral of sqrt(sin^2(x)) ?
The integral of sqrt(sin^2(x)) is -cos(x)+C