What is the integral from-1 to 1 of (y^3-y) ?

The integral from-1 to 1 of (y^3-y) is 0

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integral from-1 to 1 of (y^3-y)

\int_{- 1}^{1} (y^{3} - y) d y

0

Solution steps

\int_{- 1}^{1} y^{3} - y d y

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

y^{3} - y :

Odd

= 0

\int_{0}^{in f in t y} y^{5} e^{- 5 y} d y

\int_{0}^{2} \frac{2}{x} d x

\int_{0}^{2} 4 sec (\frac{π x}{6}) d x

\int_{\frac{π}{3}}^{\frac{π}{2}} 1 d x

\int_{0}^{36} q + 10 d q

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