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^2)

Solution

integral

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

Solution

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

Solution steps

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{2}{3 x}

Add a constant to the solution

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

Popular Examples

integral of (ln(x))/(x(sqrt(1+ln(x))))

\int \frac{ln ( x )}{x ( 1 + ln ( x ) )} d x

integral of 4x+6x^2

\int 4 x + 6 x^{2} d x

integral of sqrt(x^2+21)

\int x^{2} + 21 d x

integral of (x+2)^{15}

\int (x + 2)^{15} d x

integral of 1/(sqrt(12+x^2))

\int \frac{1}{12 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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