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

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

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

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

0

Solution steps

\int_{- a}^{a} 2 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

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

Odd

= 0

\int_{0}^{r} a x^{2} + b x + c d x

\int_{- 1}^{3} e^{u + 1} d u

\int_{7}^{8} - 7 lo g_{2} (t) d t

\int_{1}^{5} x^{5} ln (x) d x

\int_{0}^{3} - 2 x 9 - x^{2} d x

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