Find the area between the x-axis and the curve `y=sinx` from `x=0` to `x=2pi`

Explanation

To find the area between the x-axis and the curve \( y = \sin x \) from \( x = 0 \) to \( x = 2\pi \), we will follow these steps:

### Step 1: Understand the behavior of the sine function
The sine function oscillates between -1 and 1. Over the interval \( [0, 2\pi] \), it is positive from \( 0 \) to \( \pi \) and negative from \( \pi \) to \( 2\pi \).

### Step 2: Set up the integral for the area
The area \( A \) can be calculated as the sum of the areas under the curve from \( 0 \) to \( \pi \) (where \( \sin x \) is positive) and from \( \pi \) to \( 2\pi \) (where \( \sin x \) is negative). Since the area cannot be negative, we take the absolute value of the integral from \( \pi \) to \( 2\pi \).

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