calculus · worked example

Solve ∫ 4x³ dx = x^4 + C

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

4x3dx\int 4x^3 \, dx

Step-by-step solution

  1. अचर को बाहर निकालें: 4x3dx4 \int x^3 dx

  2. घात नियम: x3dx=x44+C\int x^3 dx = \frac{x^4}{4} + C

  3. गुणा करें: 4x44=x44 \cdot \frac{x^4}{4} = x^4

Answer

x4+Cx^4 + C

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