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Popular >

integral of (1+1/x)

Solution

\int (1 + \frac{1}{x}) d x

Solution

x + ln ∣ x ∣ + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int 1 d x = x

\int \frac{1}{x} d x = ln ∣ x ∣

= x + ln ∣ x ∣

Add a constant to the solution

= x + ln ∣ x ∣ + C

Graph

Popular Examples

integral of (2x+1)/(x^2+x)

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

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\frac{d y}{d x} = y x^{6} sin (x^{7})

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integral from 0 to 1 of xln(x)

\int_{0}^{1} x ln (x) d x

Frequently Asked Questions (FAQ)

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