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Popular >

integral of 1/(x+3)

Solution

\int \frac{1}{x + 3} d x

Solution

ln ∣ x + 3 ∣ + C

Solution steps

\int \frac{1}{x + 3} 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 + 3

= ln ∣ x + 3 ∣

Add a constant to the solution

= ln ∣ x + 3 ∣ + C

Popular Examples

integral of sin(x)y

\int sin (x) y d x

f (t) = t^{3}

integral from-1 to 1 of e^{2x-2}

\int_{- 1}^{1} e^{2 x - 2} d x

integral of cot(t)

\int cot (t) d t

limit as x approaches-2 of 1/(sqrt(x+2))

x \to - 2 lim (\frac{1}{x + 2})

Frequently Asked Questions (FAQ)

What is the integral of 1/(x+3) ?
The integral of 1/(x+3) is ln|x+3|+C