calculus · worked example

Solve ∫ (x + 2) dx = x^2/2 + 2x + C

Method: योग नियम + घात नियम. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. योग नियम: 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. संयोजित करें: x22+2x+C\frac{x^2}{2} + 2x + C

Answer

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

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