What is the integral from-1 to 1 of x^{5/3} ?

The integral from-1 to 1 of x^{5/3} is 0

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integral from-1 to 1 of x^{5/3}

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

0

Solution steps

\int_{- 1}^{1} x^{\frac{5}{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{5}{3}} :

Odd

= 0

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

\int_{5}^{7} \frac{1}{x} d x

\int_{\frac{π}{6}}^{\frac{π}{4}} sec^{2} (x) d x

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

\int_{1}^{2} \frac{1}{x ^{7}} d x

What is the integral from-1 to 1 of x^{5/3} ?
The integral from-1 to 1 of x^{5/3} is 0