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Popular >

integral of 1/(3x^2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{1}{3 x}

Add a constant to the solution

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

Popular Examples

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

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\int x - 1 d x

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\int_{1}^{2} x x - 1 d x

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\frac{1}{s ^{2} ( s + \frac{1}{15} )}

derivative of ax^4

\frac{d}{d x} (a x^{4})

Frequently Asked Questions (FAQ)

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