Posted by marie on Sunday, January 24, 2010 at 7:42am.
Did you make your diagram?
I read your question as estimating the definite integral of √(1+x^2) from 0 to 3
You should be looking at 3 trapezoids with a base width of 1 each and the heights for the values of x = 0,1,2,3 would be 1,√2,√5, and √10 respectively.
The estimated area would be
(1+√2)(1)/2 + (√2+√5)(1)/2 + (√5+√10)(1)/2
= (1/2)(1 + 2√2 + 2√5 + √10)
= 5.73
check my arithmetic.
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