What is the integral from 0 to 27 of 3/(x^{2/3)} ?

The integral from 0 to 27 of 3/(x^{2/3)} is 27

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integral from 0 to 27 of 3/(x^{2/3)}

\int_{0}^{27} \frac{3}{x ^{\frac{2}{3}}} d x

27

Solution steps

\int_{0}^{27} \frac{3}{x ^{\frac{2}{3}}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{0}^{27} \frac{1}{x ^{\frac{2}{3}}} d x

Apply the Power Rule

: [3 x^{\frac{1}{3}}]_{0}^{27}

= 3 [3 x^{\frac{1}{3}}]_{0}^{27}

Compute the boundaries:

9

= 3 \cdot 9

Simplify

= 27

11 e^{x^{2}}

\int - 1 (x - 4) d x

t \to π lim (\frac{t}{π})

\frac{d}{d x} ((2 x^{2} + 7) (8 x - 4))

y = 3 - x, y = x - 1, y = - 3 - x

What is the integral from 0 to 27 of 3/(x^{2/3)} ?
The integral from 0 to 27 of 3/(x^{2/3)} is 27