What is the integral from-1 to 1 of x^3sqrt(1-x^2) ?

The integral from-1 to 1 of x^3sqrt(1-x^2) is 0

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integral from-1 to 1 of x^3sqrt(1-x^2)

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

0

Solution steps

\int_{- 1}^{1} x^{3} 1 - 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^{3} 1 - x^{2} :

Odd

= 0

\int_{0}^{3} \frac{x}{49 + 5 x} d x

\int_{- 3}^{7} ∣ x ∣ d x

\int_{- 2}^{- 1} \frac{1}{x ^{2} + 4 x + 5} d x

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

\int_{2}^{3} 4^{3 x} d x

What is the integral from-1 to 1 of x^3sqrt(1-x^2) ?
The integral from-1 to 1 of x^3sqrt(1-x^2) is 0