What is the integral of sin(arcsin(x)) ?

The integral of sin(arcsin(x)) is (x^2)/2+C

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integral of sin(arcsin(x))

\int sin (arcsin (x)) d x

\frac{x ^{2}}{2} + C

Solution steps

\int sin (arcsin (x)) d x

Use the following identity:

sin (arcsin (x)) = x

= \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

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\int r^{3} cos^{2} (θ) d r

What is the integral of sin(arcsin(x)) ?
The integral of sin(arcsin(x)) is (x^2)/2+C