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Popular >

integral of 1/x 1/x

Solution

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

Solution

- \frac{d}{x} + C

Solution steps

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

Take the constant out:

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

= d \cdot \int \frac{1}{x} \cdot \frac{1}{x} d x

Simplify

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{d}{x}

Add a constant to the solution

= - \frac{d}{x} + C

Graph

Popular Examples

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\int - 2 x sin (- 3 x + 1) d x

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\int \frac{1}{2 x ^{2} + 5 x + 2} d x

integral of sqrt(y/(c-y))

\int \frac{y}{c - y} d y

integral of sin(7x)sin(2x)

\int sin (7 x) sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 1/x 1/x ?
The integral of 1/x 1/x is -d/x+C