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

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

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

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

0

Solution steps

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

Odd

= 0

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