What is the integral of 4ln(\sqrt[3]{x}) ?

The integral of 4ln(\sqrt[3]{x}) is 4(1/3 xln(x)-1/3 x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4ln(\sqrt[3]{x})

4 (\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

= 4 (\frac{1}{3} x ln (x) - \frac{1}{3} x)

Add a constant to the solution

= 4 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

\int \frac{9 e ^{- \frac{1}{x}}}{x ^{2}} d x

f (x) = x^{2} + 1, at x = 2

x^{4} - 4 x^{2} + 10, at x = 1

y^{^{'}} + x y = 0

x \to 0 + lim (cot^{2} (x))

What is the integral of 4ln(\sqrt[3]{x}) ?
The integral of 4ln(\sqrt[3]{x}) is 4(1/3 xln(x)-1/3 x)+C