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integrate sin⁡x\sin x

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Full solution

Q. integrate sin⁡x\sin x
  1. Identify Integral: Identify the integral that needs to be solved.\newlineWe need to find the integral of the function sin⁡x\sin x with respect to xx.
  2. Recall Antiderivative: Recall the antiderivative of sin⁡x\sin x. The antiderivative of sin⁡x\sin x is −cos⁡x-\cos x, because the derivative of cos⁡x\cos x is −sin⁡x-\sin x.
  3. Write Antiderivative: Write down the antiderivative.\newlineThe integral of sin⁡x\sin x dx is −cos⁡x+C-\cos x + C, where CC is the constant of integration.

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