What is the integral of 11ln(\sqrt[3]{x}) ?

The integral of 11ln(\sqrt[3]{x}) is 11(1/3 xln(x)-1/3 x)+C

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integral of 11ln(\sqrt[3]{x})

11 (\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

= 11 (\frac{1}{3} x ln (x) - \frac{1}{3} x)

Add a constant to the solution

= 11 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

y^{^{'}} = y (4 - t y)

\frac{d}{d x} (cos^{2} (x) + sin^{2} (x))

\int x^{2} cos (8 x) d x

f (x) = \frac{56}{x ^{9}}

x \to 0 lim (x^{2} - 3)

What is the integral of 11ln(\sqrt[3]{x}) ?
The integral of 11ln(\sqrt[3]{x}) is 11(1/3 xln(x)-1/3 x)+C