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

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

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

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

0

Solution steps

\int_{- 1}^{1} x + x^{3} 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 + x^{3} :

Odd

= 0

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

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

\int_{0}^{1} cos (y^{2}) d y

\int_{2}^{\infty} \frac{x}{x ^{2} - 1} d x

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