What is the integral from-2 to 2 of (xsqrt(4-x^2)) ?

The integral from-2 to 2 of (xsqrt(4-x^2)) is 0

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integral from-2 to 2 of (xsqrt(4-x^2))

\int_{- 2}^{2} (x 4 - x^{2}) d x

0

Solution steps

\int_{- 2}^{2} x 4 - 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 4 - x^{2} :

Odd

= 0

\int_{0}^{\frac{π}{2}} \frac{1}{3 + cos ( x )} d x

\int_{1}^{4} x^{2} - 4 x + 3 d x

\int_{6}^{8} 1

\int_{5}^{6} x^{2} + 2 x + 2 - 18 d x

\int_{0}^{1} e^{y} (e - 1) d y

What is the integral from-2 to 2 of (xsqrt(4-x^2)) ?
The integral from-2 to 2 of (xsqrt(4-x^2)) is 0