# How does frac 1 x 2

## Unit circle / integral of root 1-x ^ 2 / example

The upper circular line of the unit circle is the point set

To the given , , there is exactly one that meets this condition, namely . Therefore, the area of the upper half of the unit circle is equal to the area under the graph of the function over the interval , so soon

With the substitution

(in which is bijective) one obtains

In particular is

an antiderivative to it . thats why

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