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Popular >

integral of 3/(3x)

Solution

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

Solution

ln ∣ x ∣ + C

Solution steps

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

Simplify

= \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

Popular Examples

integral of 5x^2(x^3+1)^3

\int 5 x^{2} (x^{3} + 1)^{3} d x

integral of sqrt((x+7)/(x-1))

\int \frac{x + 7}{x - 1} d x

integral of (4x)/(x^4+4)

\int \frac{4 x}{x ^{4} + 4} d x

integral of sqrt(1/4+(x+1)^2)

\int \frac{1}{4} + (x + 1)^{2} d x

integral of 1/(5+t)

\int \frac{1}{5 + t} d t

Frequently Asked Questions (FAQ)

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