To find the area under the curve defined by the equation \( y = 3 - 2x - x^2 \), we will follow these steps:
### Step 1: Identify the function and the area to be calculated
We need to find the area under the curve \( y = 3 - 2x - x^2 \) from the x-axis to the curve itself. This area is bounded between the points where the curve intersects the x-axis.
### Step 2: Find the x-intercepts
To find the x-intercepts, we set \( y = 0 \):
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