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Popular >

integral of 1/(x+10)

Solution

\int \frac{1}{x + 10} d x

Solution

ln ∣ x + 10 ∣ + C

Solution steps

\int \frac{1}{x + 10} 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 = x + 10

= ln ∣ x + 10 ∣

Add a constant to the solution

= ln ∣ x + 10 ∣ + C

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\int sin (x + 1) d x

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\int 1 - cos (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral of 1/(x+10) ?
The integral of 1/(x+10) is ln|x+10|+C