What is the integral from 0 to 64 of 3/(x^{2/3)} ?

The integral from 0 to 64 of 3/(x^{2/3)} is 36

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integral from 0 to 64 of 3/(x^{2/3)}

\int_{0}^{64} \frac{3}{x ^{\frac{2}{3}}} d x

36

Solution steps

\int_{0}^{64} \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}^{64} \frac{1}{x ^{\frac{2}{3}}} d x

Apply the Power Rule

: [3 x^{\frac{1}{3}}]_{0}^{64}

= 3 [3 x^{\frac{1}{3}}]_{0}^{64}

Compute the boundaries:

12

= 3 \cdot 12

Simplify

= 36

x \to - 1 lim (- x + 2)

y^{^{''}} - 2 y^{^{'}} + 5 y = 2 sin (t), y (0) = 0, y^{^{'}} (0) = 1

\int e^{i t x} d x

x \to 2 lim (\frac{5 x}{x - 3})

\frac{\partial}{\partial z} (e^{x z})

What is the integral from 0 to 64 of 3/(x^{2/3)} ?
The integral from 0 to 64 of 3/(x^{2/3)} is 36