What is the integral of sqrt(sin(t)) ?

The integral of sqrt(sin(t)) is -2\E(1/2 (pi/2-t)\vert 2)+C

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integral of sqrt(sin(t))

\int sin (t) d t

- 2 E (\frac{1}{2} (\frac{π}{2} - t) ∣2) + C

Solution steps

\int sin (t) d t

Use the nonelementary integral:

\int sin (x) d x = - 2 E (\frac{1}{2} (\frac{π}{2} - x) ∣ 2)

= - 2 E (\frac{1}{2} (\frac{π}{2} - t) ∣ 2)

Add a constant to the solution

= - 2 E (\frac{1}{2} (\frac{π}{2} - t) ∣ 2) + C

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What is the integral of sqrt(sin(t)) ?
The integral of sqrt(sin(t)) is -2\E(1/2 (pi/2-t)\vert 2)+C