Solution Found!
Midpoint Rule approximations Find the indicated Midpoint
Chapter 5, Problem 11E(choose chapter or problem)
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Questions & Answers
QUESTION:
Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals.
\(\int_{2}^{10} 2 x^{2} d x\) using n=1, 2, and 4 subintervals
ANSWER:Problem 11E
Midpoint Rule approximations Find the indicated Midpoint Rule approximations to the following integrals.
using n =1, 2, and 4 subintervals
Answer
Step 1;
Midpoint sum (also Midpoint approximation ) uses midpoint of subintervals;
f(x) dx
(f(
) + f(
) +f(
) +.............+f(
)+f(
))
Where =
, a =
and b =
, [a ,b] is the interval .
[ ] , [
] , [
] ……….. [
] are the subintervals in [ a , b] .
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