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

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

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

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

0

Solution steps

\int_{- 1}^{1} 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

x \to - 1 lim (sin (π x))

x \to 0 + lim ((tan (3 x))^{x})

y = e^{5 x}, y = e^{6 x}, x = 1

\frac{d}{d x} (2 x y^{3})

x^{3} - 10 x^{2} + 16 x, - x^{3} + 10 x^{2} - 16 x

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