Difference between revisions of "009B Sample Final 3, Problem 5"

Latest revision as of 17:45, 2 December 2017

Find the following integrals.

(a) $\int x\cos(x)~dx$

(b) $\int \sin ^{3}(x)\cos ^{2}(x)~dx$

Solution

Detailed Solution

Return to Sample Exam

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-<span class="exam">Consider the region bounded by the following two functions:
+<span class="exam"> Find the following integrals.
-::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math style="vertical-align: -4px">y=0</math>.
-<span class="exam">a) Using the lower sum with three rectangles having equal width, approximate the area.
+<span class="exam">(a) &nbsp;<math>\int x\cos(x)~dx</math>
-<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
+<span class="exam">(b) &nbsp;<math>\int \sin^3(x)\cos^2(x)~dx</math>
-<span class="exam">c) Find the actual area of the region.
+<hr>
+[[009B Sample Final 3, Problem 5 Solution|'''<u>Solution</u>''']]
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+[[009B Sample Final 3, Problem 5 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Final_3|'''<u>Return to Sample Exam</u>''']]

Difference between revisions of "009B Sample Final 3, Problem 5"

Latest revision as of 17:45, 2 December 2017

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