x^3+5x^2+x+7 defined in [1,5]. What is height of the rectangle whose base is [1,5] and area is = to area under the curve of f from 1 to 5?

2016-06-28 5:09 pm

回答 (1)

2016-06-28 5:18 pm

　
The height would simply be the average value of f on the interval
= 1/(5−1) ∫ [1 to 5] (x³ + 5x² + x + 7) dx
= 1/4 * (1208/3)
= 302/3

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