Questions: To find the blue shaded area above, we would calculate: ∫ from 1 to 2 (5-x) dx

Transcript text: To find the blue shaded area above, we would calculate: $\int_1^2 (5-x) dx$

Solution

Solution Steps

Step 1: Identify the Problem

The problem requires finding the area of the blue-shaded region under the curve and above the x-axis.

Step 2: Determine the Integral Bounds

From the graph, the blue-shaded region spans from x = 1 to x = 3.

Step 3: Set Up the Integral

To find the area under the curve, we need to set up the definite integral of the function from x = 1 to x = 3. The function appears to be a constant value of 2.

Final Answer

The area of the blue-shaded region is calculated by the integral: \[ \int_{1}^{3} 2 \, dx = 2 \times (3 - 1) = 2 \times 2 = 4 \]

So, the area is 4 square units.

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