calculus · worked example

Solve ∫ (x + 2) dx = x^2/2 + 2x + C

Method: 加法法則 + 冪法則. Verified step-by-step solution with our free AI math solver.
Problem

(x+2)dx\int (x + 2) \, dx

Step-by-step solution

  1. 加法法則:xdx+2dx\int x \, dx + \int 2 \, dx

  2. xdx=x22\int x \, dx = \frac{x^2}{2}2dx=2x\int 2 \, dx = 2x

  3. 合併:x22+2x+C\frac{x^2}{2} + 2x + C

Answer

x22+2x+C\frac{x^2}{2} + 2x + C

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