What is the integral of 13ln(\sqrt[3]{x}) ?

The integral of 13ln(\sqrt[3]{x}) is 13(1/3 xln(x)-1/3 x)+C

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integral of 13ln(\sqrt[3]{x})

13 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

Solution steps

Take the constant out:

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

Apply Integration By Parts

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

Simplify

= 13 (\frac{1}{3} x ln (x) - \frac{1}{3} x)

Add a constant to the solution

= 13 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

\int 6 x^{4} - 6 x^{3} + 4 x^{2} + C d x

\frac{\partial}{\partial x} (2 x y ln (x))

\frac{\partial}{\partial t} (sin (2 x) cos (2 t))

\int (6 x^{2} + 2 x - 1) d x

\frac{( 2 s + 12 )}{s ^{2} + 2 s + 5}

What is the integral of 13ln(\sqrt[3]{x}) ?
The integral of 13ln(\sqrt[3]{x}) is 13(1/3 xln(x)-1/3 x)+C