en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2/(3x^3)

Solution

\int \frac{2}{3 x ^{3}} d x

Solution

- \frac{1}{3 x ^{2}} + C

Solution steps

\int \frac{2}{3 x ^{3}} d x

Take the constant out:

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

= \frac{2}{3} \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= \frac{2}{3} (- \frac{1}{2 x ^{2}})

Simplify

\frac{2}{3} (- \frac{1}{2 x ^{2}}) : - \frac{1}{3 x ^{2}}

= - \frac{1}{3 x ^{2}}

Add a constant to the solution

= - \frac{1}{3 x ^{2}} + C

Popular Examples

integral of (2x+5)/(x^2+2x+10)

\int \frac{2 x + 5}{x ^{2} + 2 x + 10} d x

integral of 1/(sqrt(3x^2-4))

\int \frac{1}{3 x ^{2} - 4} d x

integral of sqrt((x-1)/x)

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

integral of (1-sin(x))^2

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

integral of (-5)/(x(ln(x))^3)

\int \frac{- 5}{x ( ln ( x ) ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of 2/(3x^3) ?
The integral of 2/(3x^3) is -1/(3x^2)+C