What is the integral of In\sqrt[3]{x} ?

The integral of In\sqrt[3]{x} is In 3/4 x^{4/3}+C

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integral of In\sqrt[3]{x}

I n \frac{3}{4} x^{\frac{4}{3}} + 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{3}{4} x^{\frac{4}{3}}

= I n \frac{3}{4} x^{\frac{4}{3}}

Add a constant to the solution

= I n \frac{3}{4} x^{\frac{4}{3}} + C

\int \frac{1}{3 x} d x

\frac{d}{d x} (cos (x^{s i n (x)}))

\frac{d}{d x} (x^{4} - 50 x^{2})

\frac{\partial}{\partial x} (2 x^{2} + 2 y - 8)

f (x) = 5 x + 6, (2, 4)

What is the integral of In\sqrt[3]{x} ?
The integral of In\sqrt[3]{x} is In 3/4 x^{4/3}+C