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

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

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integral from-1 to 1 of x^3cos(x)

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

0

Solution steps

\int_{- 1}^{1} 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_{0}^{π} sin^{3} (x) cos (x) d x

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\int_{0}^{1} (x^{18} + 1 8^{x}) d x

\int_{0}^{\infty} 2 e^{- x - y} d y

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