What is the integral from-L to L of x/(sqrt(1-x^2)) ?

The integral from-L to L of x/(sqrt(1-x^2)) is 0

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integral from-L to L of x/(sqrt(1-x^2))

\int_{- L}^{L} \frac{x}{1 - x ^{2}} d x

0

Solution steps

\int_{- L}^{L} \frac{x}{1 - x ^{2}} d x

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

[- a, a]

then

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

Parity of

\frac{x}{1 - x ^{2}} :

Odd

= 0

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What is the integral from-L to L of x/(sqrt(1-x^2)) ?
The integral from-L to L of x/(sqrt(1-x^2)) is 0