calculus · worked example

Solve ∫ 3x² dx = x^3 + C

Method: múltiplo constante + regra da potência. Verified step-by-step solution with our free AI math solver.
Problem

3x2dx\int 3x^2 \, dx

Step-by-step solution

  1. Coloque a constante para fora: 3x2dx3 \int x^2 \, dx.

  2. Regra da potência: x2dx=x33+C\int x^2 dx = \frac{x^3}{3} + C.

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

  4. Resultado final: x3+Cx^3 + C.

Answer

x3+Cx^3 + C

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