What is the integral of 4\sqrt[6]{x} ?

The integral of 4\sqrt[6]{x} is 24/7 x^{7/6}+C

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integral of 4\sqrt[6]{x}

\frac{24}{7} x^{\frac{7}{6}} + C

Solution steps

Take the constant out:

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

Apply the Power Rule

: \frac{6}{7} x^{\frac{7}{6}}

= 4 \cdot \frac{6}{7} x^{\frac{7}{6}}

Simplify

4 \cdot \frac{6}{7} x^{\frac{7}{6}} : \frac{24}{7} x^{\frac{7}{6}}

= \frac{24}{7} x^{\frac{7}{6}}

Add a constant to the solution

= \frac{24}{7} x^{\frac{7}{6}} + C

\int \frac{1 + x}{- 4 x - 2 x ^{2}} d x

\frac{d}{d x} (\frac{e ^{5 x}}{x ^{15}})

\frac{d}{d x} (b (x + a)^{3} + c)

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

x \to \infty lim (x \cdot 2)

What is the integral of 4\sqrt[6]{x} ?
The integral of 4\sqrt[6]{x} is 24/7 x^{7/6}+C