Find an anti derivative (or integral) of the following functions by the method of inspection.sin 2x

Explanation

To find an antiderivative (or integral) of the function \( \sin(2x) \) using the method of inspection, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Function**: We need to find the antiderivative of \( \sin(2x) \).

2. **Recall the Derivative of Cosine**: We know from calculus that the derivative of \( \cos(kx) \) is \( -k \sin(kx) \). Here, \( k = 2 \).

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