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MathCalculus

Antiderivative of 1/2 x: Evaluate ∫dx/(2x)

Read the integrand as 1/(2x), apply the logarithmic rule, and check the antiderivative on each side of zero.

Question

Use a basic integration formula to find the antiderivative:

∫dx2x.\int\frac{dx}{2x}.

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Evidence boundary

This page follows the explicit fraction dx/(2x) in OpenStax Calculus Volume 2, §1.4, exercise 209. The search phrase alone does not establish parentheses. The logarithmic answer is valid on intervals excluding zero, with independent constants allowed on the two half-axes.