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Popular >

integral of 2/(3x^2)

Solution

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

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

Graph

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derivative of arctan(2x^2)

\frac{d}{d x} (arctan (2 x^{2}))

(\partial)/(\partial y)(y/(2x^2+y^2))

\frac{\partial}{\partial y} (\frac{y}{2 x ^{2} + y ^{2}})

integral of (4x^3-3x+5)

\int (4 x^{3} - 3 x + 5) d x

integral of x(1+x^2)^{-1/2}

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

limit as x approaches 1 of (x+2)/(x-1)

x \to 1 lim (\frac{x + 2}{x - 1})

Frequently Asked Questions (FAQ)

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