calculus · worked example

Solve ∫ (x + 2) dx = x^2/2 + 2x + C

Method: قاعدة المجموع + قاعدة القوة. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. قاعدة المجموع: 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. الدمج: x22+2x+C\frac{x^2}{2} + 2x + C.

Answer

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

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