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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

integral of ln(x^2-4x+6)

\int ln (x^{2} - 4 x + 6) d x

integral of (-7)/(x(ln(x))^2)

\int \frac{- 7}{x ( ln ( x ) ) ^{2}} d x

integral of-1/x+1

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

integral of (3x)/(sqrt(81+x^2))

\int \frac{3 x}{81 + x ^{2}} d x

integral of 3cos^2(5x)

\int 3 cos^{2} (5 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