What is the integral from-2 to 2 of (x^3-4x) ?

The integral from-2 to 2 of (x^3-4x) is 0

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integral from-2 to 2 of (x^3-4x)

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

0

Solution steps

\int_{- 2}^{2} x^{3} - 4 x 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} - 4 x :

Odd

= 0

\int_{0}^{1} sin (3 x) d x

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

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

\int_{1}^{4} \frac{x}{1 + x} d x

\int_{1}^{16} x^{- \frac{3}{4}} d x

What is the integral from-2 to 2 of (x^3-4x) ?
The integral from-2 to 2 of (x^3-4x) is 0