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calculus · worked example

Solve ∫ 2 sin(x) dx = -2cos(x) + C

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Problem

∫2sin⁡x dx\int 2\sin x \, dx

Step-by-step solution

  1. ดึงค่าคงที่ออก: 2∫sin⁡x dx2 \int \sin x \, dx

  2. ∫sin⁡x dx=−cos⁡x+C\int \sin x \, dx = -\cos x + C

  3. คูณ: −2cos⁡x+C-2\cos x + C

Answer

−2cos⁡(x)+C-2\cos(x) + C

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