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calculus · worked example

Solve ∫ 4x³ dx = x^4 + C

Method: ตัวคูณคงที่ + กฎเลขยกกำลัง. Verified step-by-step solution with our free AI math solver.

Problem

$\int 4x^3 \, dx$

Step-by-step solution

ดึงค่าคงที่ออก: $4 \int x^3 dx$
กฎเลขยกกำลัง: $\int x^3 dx = \frac{x^4}{4} + C$
คูณ: $4 \cdot \frac{x^4}{4} = x^4$

Answer

$x^4 + C$

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