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Popular >

integral of 1/x

Solution

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

Solution

ln ∣ x ∣ + C

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= ln ∣ x ∣

Add a constant to the solution

= ln ∣ x ∣ + C

Graph

Popular Examples

integral of sin(5x)cos(x)

\int sin (5 x) cos (x) d x

integral of (x^3-x^2+2x-6)/x

\int \frac{x ^{3} - x ^{2} + 2 x - 6}{x} d x

area 4x+7,2x+29,6,16 area

4 x + 7, 2 x + 29, 6, 16

limit as x approaches-4 of (1-x)^3

x \to - 4 lim ((1 - x)^{3})

sum from n=1 to infinity of (x+5)^n

n = 1 \sum \infty (x + 5)^{n}

Frequently Asked Questions (FAQ)

What is the integral of 1/x ?
The integral of 1/x is ln|x|+C