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

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

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

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

0

Solution steps

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

Odd

= 0

\int_{- 5}^{1} - x^{2} - 3 x d x

\int_{0}^{1} 1 - x d x

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

\int_{- x}^{x} x + y d y

\int_{0}^{1} - x^{2} - x^{3} + 2 x d x

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