What is the integral from-1 to 1 of rsqrt(1-r^2) ?

The integral from-1 to 1 of rsqrt(1-r^2) is 0

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integral from-1 to 1 of rsqrt(1-r^2)

\int_{- 1}^{1} r 1 - r^{2} d r

0

Solution steps

\int_{- 1}^{1} r 1 - r^{2} d r

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

r 1 - r^{2} :

Odd

= 0

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\int_{0}^{2} ln (x + 1) d x

\int_{0}^{\frac{π}{2}} (y + y^{2} cos (x)) d x

What is the integral from-1 to 1 of rsqrt(1-r^2) ?
The integral from-1 to 1 of rsqrt(1-r^2) is 0