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calculus · worked example

Solve ∫ 2x dx = x^2 + C

Method: power rule + constant multiple. Verified step-by-step solution with our free AI math solver.

Problem

$\int 2x \, dx$

Step-by-step solution

Pull the constant out: $\int 2x \, dx = 2 \int x \, dx$ .
Apply power rule: $\int x \, dx = \frac{x^2}{2} + C$ .
Multiply: $2 \cdot \frac{x^2}{2} = x^2$ .
Add constant: $x^2 + C$ .

Answer

$x^2 + C$

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