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calculus · worked example

Solve ∫ 2x dx = x^2 + C

Method: aturan pangkat + kelipatan konstanta. Verified step-by-step solution with our free AI math solver.

Problem

$\int 2x \, dx$

Step-by-step solution

Keluarkan konstanta: $\int 2x \, dx = 2 \int x \, dx$ .
Terapkan aturan pangkat: $\int x \, dx = \frac{x^2}{2} + C$ .
Kalikan: $2 \cdot \frac{x^2}{2} = x^2$ .
Tambahkan konstanta: $x^2 + C$ .

Answer

$x^2 + C$

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