# Find the integral of the given function: {eq}\sin^{-1}\ (\cos\ x) {/eq}

## Question:

Find the integral of the given function:

{eq}\sin^{-1}\ (\cos\ x) {/eq}

## Integration:

The fundamental theorem of calculus can be used to solve the function when its derivative is given. Sometimes, trigonometric identities are applied to simplify the integrand. For example, {eq}\cos \theta {/eq} can be expressed as {eq}\cos \theta = \sin \left( {\dfrac{\pi }{2} - \theta } \right) {/eq}.

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Given data

• The given expression is {eq}\displaystyle \int {{{\sin }^{ - 1}}\left( {\cos x} \right)} {/eq} .

Recall that {eq}\cos \theta = \sin...

Integration Problems in Calculus: Solutions & Examples

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Chapter 13 / Lesson 13
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Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.