What is the integral of sin^{1/2}(x) ?

The integral of sin^{1/2}(x) is -2\E(1/2 (pi/2-x)\vert 2)+C

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integral of sin^{1/2}(x)

\int sin^{\frac{1}{2}} (x) d x

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

Solution steps

\int sin (x) d x

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} - x) ∣ 2)

Add a constant to the solution

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

\frac{d}{d x} (e^{x} (2 x + 2 x))

\int arctan (v) d v

\int \frac{2}{1 - x} d x

y^{^{'}} - y = x + 1

What is the integral of sin^{1/2}(x) ?
The integral of sin^{1/2}(x) is -2\E(1/2 (pi/2-x)\vert 2)+C