What is the integral from-1 to 1 of x^3-3x ?

The integral from-1 to 1 of x^3-3x is 0

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integral from-1 to 1 of x^3-3x

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

0

Solution steps

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

Odd

= 0

\int_{0}^{1} \frac{e ^{x}}{5 - e ^{x}} d x

\int_{- 1}^{1} (x^{7} + x^{3} + x) d x

\int_{- 1}^{0} ∣ 3 x + 1 ∣ d x

\int_{- 3}^{3} 3 + ∣ x ∣ d x

\int_{0}^{4} \frac{x}{2 x ^{2} + 2} d x

What is the integral from-1 to 1 of x^3-3x ?
The integral from-1 to 1 of x^3-3x is 0