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

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

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

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

0

Solution steps

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

Odd

= 0

\int_{- 2}^{0} 3 x d x

\int_{2}^{8} (4 x - 9)^{20} d x

\int_{\frac{3 π}{2}}^{2 π} cos (θ) d θ

\int_{- 1}^{0} \frac{1}{2 + x} d x

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

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