What is the integral of arcosin(x) ?

The integral of arcosin(x) is -acrocos(x)+C

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integral of arcosin(x)

\int a rco sin (x) d x

- a cro cos (x) + C

Solution steps

\int a rco sin (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= a cro \cdot \int sin (x) d x

Use the common integral:

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

= a cro (- cos (x))

Simplify

= - a cro cos (x)

Add a constant to the solution

= - a cro cos (x) + C

What is the integral of arcosin(x) ?
The integral of arcosin(x) is -acrocos(x)+C