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

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

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

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

0

Solution steps

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

Odd

= 0

\int_{- 2}^{- 1} (- x^{2} - 2 x + 3) d x

\int_{0}^{5} \frac{2}{x - 2} d x

\int_{0}^{- 5} \frac{x}{16 - 2 x ^{2}} d x

\int_{1}^{3} (3 x^{2} + \frac{4}{x ^{2}}) d x

\int_{- π}^{π} x^{2} cos (n) x d x

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