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# Week 1 Lab Name_________________________ Part I - Directions: For the function we are going to estimate the area under the curve using the

Part I - Directions: For the function ∫_0^2▒〖f(x)=(x-2)^2+2 〗 dx we are going to estimate the area under the curve using the trapezoidal rule where n = 5 by doing the following:
Week 1 Lab Name_________________________ Part I - Directions: For the function we are going to estimate the area under the curve using the trapezoidal rule where n = 5 by doing the following: 1. Divide the interval into 5 equal pieces. How long is each piece? This will represent the width of the rectangles we will use to estimate the area in gray above. What will the x- values be for the endpoint of each piece? Width of rectangle = 2. Evaluate f(x) for x 1 to x 6 the endpoints. This will represent the bases of the trapezoids we will use to estimate the area under the curve.
3. Using the heights from part 2 and the width from part 1 draw the trapezoids onto the graph. Be sure that you measure the height from each endpoint. Based on the sketch will the estimate you get be an over or underestimate? Why?
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