What is the integral from-3 to 3 of xsqrt(25-x^2) ?

The integral from-3 to 3 of xsqrt(25-x^2) is 0

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integral from-3 to 3 of xsqrt(25-x^2)

\int_{- 3}^{3} x 25 - x^{2} d x

0

Solution steps

\int_{- 3}^{3} x 25 - 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 25 - x^{2} :

Odd

= 0

\int_{0}^{\frac{π}{4}} 3 cos (x) + 1 d x

\int_{0}^{π} (x + sin^{3} (x)) d x

\int_{0}^{2} x cos (\frac{nπ}{2} x) d x

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

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

What is the integral from-3 to 3 of xsqrt(25-x^2) ?
The integral from-3 to 3 of xsqrt(25-x^2) is 0