How many evaluations of the function f(x) = (1+ 2x)¬1 is needed in order to approxi- mate the integral f(x)dx with an error less than 10-8 by using (a) Composite Trapezoid Rule? (b) Composite Simpson's Rule? Note that the actual value of the definite integral is not needed in answering the questions above.

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How many evaluations of the function f(x) = (1+2x)-1 is needed in order to approxi-
mate the integral
| f(x) dx
with an error less than 10-8 by using
(a) Composite Trapezoid Rule?
(b) Composite Simpson's Rule?
Note that the actual value of the definite integral is not needed in answering the questions
above.
Transcribed Image Text:How many evaluations of the function f(x) = (1+2x)-1 is needed in order to approxi- mate the integral | f(x) dx with an error less than 10-8 by using (a) Composite Trapezoid Rule? (b) Composite Simpson's Rule? Note that the actual value of the definite integral is not needed in answering the questions above.
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