What is the integral from-3 to 3 of x^{1/3} ?

The integral from-3 to 3 of x^{1/3} is 0

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integral from-3 to 3 of x^{1/3}

\int_{- 3}^{3} x^{\frac{1}{3}} d x

0

Solution steps

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

Odd

= 0

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

\int_{- 1}^{1} arctan (x) d x

\int_{0}^{2 π} - 4 sin^{2} (t) d t

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

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

What is the integral from-3 to 3 of x^{1/3} ?
The integral from-3 to 3 of x^{1/3} is 0