What is the word form for 2.51 and expanded form
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Split the integration interval [-1, 1] into 4 subintervals:
[-1, -1/2], [-1/2, 0], [0, 1/2], [1/2, 1]
Each subinterval has a length of 1/2, which acts as the height of the corresponding trapezoid over the subinterval. The "bases" of the trapezoid are the function's values at the endpoint of the subinterval. For instance, over the first subinterval, we have
So over this subinterval, the trapezoid contributes an area of
Do the same with the other 3 trapezoids; you'll find