Difference between revisions of "009B Sample Midterm 1"
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== [[009B_Sample Midterm 1,_Problem_4|<span class="biglink"><span style="font-size:80%"> Problem 4 </span>]] == | == [[009B_Sample Midterm 1,_Problem_4|<span class="biglink"><span style="font-size:80%"> Problem 4 </span>]] == | ||
− | <span class="exam"> Evaluate the | + | <span class="exam"> Evaluate the indefinite and definite integrals. |
− | + | <span class="exam">(a) <math>\int x^2 e^x~dx</math> | |
+ | |||
+ | <span class="exam">(b) <math>\int_{1}^{e} x^3\ln x~dx</math> | ||
== [[009B_Sample Midterm 1,_Problem_5|<span class="biglink"><span style="font-size:80%"> Problem 5 </span>]] == | == [[009B_Sample Midterm 1,_Problem_5|<span class="biglink"><span style="font-size:80%"> Problem 5 </span>]] == |
Revision as of 15:04, 12 November 2017
This is a sample, and is meant to represent the material usually covered in Math 9B for the midterm. An actual test may or may not be similar.
Click on the boxed problem numbers to go to a solution.
Problem 1
Let .
(a) Compute the left-hand Riemann sum approximation of with boxes.
(b) Compute the right-hand Riemann sum approximation of with boxes.
(c) Express as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.
Problem 2
Evaluate the indefinite and definite integrals.
(a)
(b)
Problem 3
Evaluate the indefinite and definite integrals.
(a)
(b)
Problem 4
Evaluate the indefinite and definite integrals.
(a)
(b)
Problem 5
Let .
(a) Compute the left-hand Riemann sum approximation of with boxes.
(b) Compute the right-hand Riemann sum approximation of with boxes.
(c) Express as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.
Contributions to this page were made by Kayla Murray