calculus · worked example

Solve ∫ 2 sin(x) dx = -2cos(x) + C

Method: 常數倍. Verified step-by-step solution with our free AI math solver.
Problem

2sinxdx\int 2\sin x \, dx

Step-by-step solution

  1. 把常數提出來:2sinxdx2 \int \sin x \, dx

  2. sinxdx=cosx+C\int \sin x \, dx = -\cos x + C

  3. 相乘:2cosx+C-2\cos x + C

Answer

2cos(x)+C-2\cos(x) + C

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