calculus · worked example

Solve ∫ 4x³ dx

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

Problem

$\int 4x^3 \, dx$

Step-by-step solution

Pull constant: $4 \int x^3 dx$ .
Power rule: $\int x^3 dx = \frac{x^4}{4} + C$ .
Multiply: $4 \cdot \frac{x^4}{4} = x^4$ .

Answer

$x^4 + C$

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