calculus · worked example

Solve ∫ 3x² dx = x^3 + C

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

3x2dx\int 3x^2 \, dx

Step-by-step solution

  1. स्थिरांक बाहर निकालें: 3x2dx3 \int x^2 \, dx

  2. घात नियम: x2dx=x33+C\int x^2 dx = \frac{x^3}{3} + C

  3. गुणा करें: 3x33=x33 \cdot \frac{x^3}{3} = x^3

  4. अंतिम: x3+Cx^3 + C

Answer

x3+Cx^3 + C

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