Calculus • Step-by-Step

Integral of 2/x dx with Steps

Integrate 2/x step by step with complete working. Factor out the constant multiple 2 and integrate 1/x to find the antiderivative 2·ln|x| + C.

Problem Statement

\int \frac{2}{x} \, dx

Final Result

F(x) = 2 \cdot \ln|x| + C

Formula Required: Constant Multiple with Natural Log

Pull the constant 2 outside the integral: 2 ∫ (1/x) dx = 2 ln|x| + C.

\int \frac{k}{x} \, dx = k \ln|x| + C

2 Steps

Set up the indefinite integral with respect to variable $x$.

\int \left( \frac{2}{x} \right) \, dx

Apply the Power Rule for Integration to find the antiderivative.

F(x) = 2 \cdot \ln|x|

Interactive Calculator

Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The integral of 2/x is 2·ln|x| + C.