Wanda Kane
2021-12-28
Given.
(a) Use the Trapezoidal Rule to approximate the given integral with the specified value of n. (Round your answer to six decimal places.)
___ (b) Use the Midpoint Rule to approximate the given integral with the specified value of n. (Round your answer to six decimal places.)
___ (c) Use Simpson's Rule to approximate the given integral with the specified value of n. (Round your answer to six decimal places.)
Alex Sheppard
Beginner2021-12-29Added 36 answers
Step 1
Given.
For (a),
Trapezoidal rule:
We have that
Therefore,
Devide the interval
Now, just evaluate the function at these endpoints.
Finally, just sum up the above values and multiply by
Gerald Lopez
Beginner2021-12-30Added 29 answers
Step 2
For (b),
Midpoint rule:
Divide the interval
Now, just evaluate the function function at the midpoints of the subintervals.
Finally, just sum up the above values ans multiply by
karton
Expert2022-01-09Added 613 answers
Step 3
For (c),
Simpson's Rule:
Divide the interval [0, 2] into n=8 subintervals of the length
Now, just evaluate the function function at these endpoints.
Finally, just sum up the above values and multiply by
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