What is the integral from-a to a of xsqrt(a^2-x^2) ?

The integral from-a to a of xsqrt(a^2-x^2) is 0

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integral from-a to a of xsqrt(a^2-x^2)

\int_{- a}^{a} x a^{2} - x^{2} d x

0

Solution steps

\int_{- a}^{a} x a^{2} - 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

x a^{2} - x^{2} :

Odd

= 0

\int_{5}^{6} x^{2} - 8 x + 15 d x

\int_{0}^{t} t e^{- k t} d t

\int_{0}^{x} \frac{x y}{1 + x ^{4}} d y

\int_{0}^{2} \frac{x}{( x ^{2} - 2 x + 2 )} d x

\int_{1}^{3} (3 x - 2) d x

What is the integral from-a to a of xsqrt(a^2-x^2) ?
The integral from-a to a of xsqrt(a^2-x^2) is 0