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Q. 5

Expert-verifiedFound in: Page 327

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

Approximate the same area as earlier but this time with eight rectangles is this over approximation or under approximation of the exact area under the graph

The area in between the function and x-axis is $20.5sq.units$. this is an under approximation to the original area as the rectangle does not cover every portion between the function and x axis

We are given a function $f\left(x\right)={x}^{2}$

We have,

Also

Hence the total area can be given as

$0.5+3+1.5+6+1+5+3+0.5=20.5sq.units$

Also this is an under approximation to the original area as the rectangle does not cover every portion between the function and x axis.

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