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

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

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integral from-2 to 2 of x^3+x

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

0

Solution steps

\int_{- 2}^{2} x^{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^{3} + x :

Odd

= 0

\int_{1}^{3} 3 x (x^{2} + 5) d x

\int_{0}^{1} (x^{2})^{2} d x

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

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

\int_{- 3}^{2} 4 - x^{2} d x

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