calculus · worked example

Solve ∫ 3x² dx = x^3 + C

Method: constant multiple + power rule. Verified step-by-step solution with our free AI math solver.

Problem

$\int 3x^2 \, dx$

Step-by-step solution

Pull constant out: $3 \int x^2 \, dx$ .
Power rule: $\int x^2 dx = \frac{x^3}{3} + C$ .
Multiply: $3 \cdot \frac{x^3}{3} = x^3$ .
Final: $x^3 + C$ .

Answer

$x^3 + C$

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