##### Integral of \( \sin x \): Step-by-Step Solution

The integral \( \displaystyle \int \sin x \, dx \) is a basic result in calculus, and is used in various calculations involving wave motion and oscillatory behavior. Solution The antiderivative of \( \sin x \) with respect to \( x \) is: \[\begin{align*} \displaystyle \int \sin x \, dx = -\cos x + C,…

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