What is the integral from-2 to 2 of (x^3-x^5) ?

The integral from-2 to 2 of (x^3-x^5) is 0

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integral from-2 to 2 of (x^3-x^5)

\int_{- 2}^{2} (x^{3} - x^{5}) d x

0

Solution steps

\int_{- 2}^{2} x^{3} - x^{5} 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} - x^{5} :

Odd

= 0

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

\int_{0}^{4} (y - 2)^{2} d y

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

\int_{0}^{3} (- x^{2} + 4) d x

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

What is the integral from-2 to 2 of (x^3-x^5) ?
The integral from-2 to 2 of (x^3-x^5) is 0