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Popular >

integral of 1/(1+x)

Solution

integral

\frac{1}{1 + x}

Solution

ln ∣ 1 + x ∣ + C

Solution steps

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

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = 1 + x

= ln ∣ 1 + x ∣

Add a constant to the solution

= ln ∣ 1 + x ∣ + C

Graph

Popular Examples

integral of 1/((2x^2+3))integral

\frac{1}{( 2 x ^{2} + 3 )}

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a^{2} - x^{2}

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

\frac{e ^{x}}{( 1 + e ^{x} )}

Frequently Asked Questions (FAQ)

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