What is the integral from-6 to 6 of xsqrt(36-x^2) ?

The integral from-6 to 6 of xsqrt(36-x^2) is 0

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integral from-6 to 6 of xsqrt(36-x^2)

\int_{- 6}^{6} x 36 - x^{2} d x

0

Solution steps

\int_{- 6}^{6} x 36 - 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 36 - x^{2} :

Odd

= 0

x^{4} - x^{3} - 4 x^{2} + 3 x + 5, 12 x^{2} - 6 x - 8

\int 8 x e^{- x} d x

y = 2 - e^{x}

f (x) = 5 - 5 x^{2}, (- 2, - 15)

f (x) = 5^{1 - x}

What is the integral from-6 to 6 of xsqrt(36-x^2) ?
The integral from-6 to 6 of xsqrt(36-x^2) is 0