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

2xdx\int 2x \, dx

Step-by-step solution

  1. Keluarkan konstanta: 2xdx=2xdx\int 2x \, dx = 2 \int x \, dx.

  2. Terapkan aturan pangkat: xdx=x22+C\int x \, dx = \frac{x^2}{2} + C.

  3. Kalikan: 2x22=x22 \cdot \frac{x^2}{2} = x^2.

  4. Tambahkan konstanta: x2+Cx^2 + C.

Answer

x2+Cx^2 + C

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