Difference between revisions of "009B Sample Midterm 1"
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<div class="noautonum">__TOC__</div> | <div class="noautonum">__TOC__</div> | ||
| − | == [[009B_Sample | + | == [[009B_Sample Midterm 1,_Problem_1|<span class="biglink"><span style="font-size:80%"> Problem 1 </span></span>]] == |
<span class="exam">Evaluate the indefinite and definite integrals. | <span class="exam">Evaluate the indefinite and definite integrals. | ||
::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math> | ::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math> | ||
::<span class="exam">b) <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx</math> | ::<span class="exam">b) <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx</math> | ||
| + | |||
| + | == [[009B_Sample Midterm 1,_Problem_2|<span class="biglink"><span style="font-size:80%"> Problem 2 </span>]] == | ||
| + | <span class="exam"> Find the average value of the function on the given interval. | ||
| + | |||
| + | <math>f(x)=2x^3(1+x^2)^4,~~~[0,2]</math> | ||
Revision as of 15:13, 19 January 2016
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
Evaluate the indefinite and definite integrals.
- a)
- b)
Problem 2
Find the average value of the function on the given interval.
![{\displaystyle f(x)=2x^{3}(1+x^{2})^{4},~~~[0,2]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/77a161ffdc7696e36689931b0c93c832f51cbe78)