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Recall the standard integral of x.

Mathematics

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Answer

−cos⁡x+C-\cos x + C

Step-by-step solution

2 steps

  1. Recall the standard integral of sin⁡x\sin x.

    The integral of sin⁡x\sin x with respect to xx is −cos⁡x-\cos x.

  2. Add the constant of integration.

    When evaluating an indefinite integral, a constant of integration CC must be added.

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

    The final answer is −cos⁡x+C-\cos x + C.

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