卡在這題?用 AI 解開它
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:∫x dx+∫2 dx\int x \, dx + \int 2 \, dx。

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

Want to solve a different problem? Open the integral solver →