Definite Integrals & Numeric Integration Worksheet With Answers - Calculus Maximus Ws 4.2 Page 3
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7Calculus Maximus
WS 4.2: Def Int & Num Int
Short Answer
x
0
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9.3
9.0
8.3
6.5
2.3
7.6
10.5
f x
6. The table above gives the values of a function obtained from an experiment. Use them to estimate
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f x dx using three equal subintervals using
0
(a) right endpoints (REP)
(b) left endpoints (LEP)
(c) midpoints (MDPT)
(d) the trapezoidal rule (TRAP)
(e) If the function is said to be a decreasing function, can you say whether your estimates are less than
or greater than the exact value of the integral? Could any of these estimates approximate the area of
the enclosed region with the x-axis? Why or why not?
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