Difference between revisions of "009B Sample Midterm 3, Problem 4"

Latest revision as of 18:30, 12 November 2017

Compute the following integrals:

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

(b) $\int _{-{\frac {\pi }{4}}}^{\frac {\pi }{4}}\cos ^{2}(x)\sin(x)~dx$

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-<span class="exam"> The rate of reaction to a drug is given by:
+<span class="exam"> Compute the following integrals:
-::::::<math>r'(t)=2t^2e^{-t}</math>
+<span class="exam">(a) &nbsp; <math>\int x^2\sin (x^3) ~dx</math>
-<span class="exam">where <math>t</math> is the number of hours since the drug was administered.
+<span class="exam">(b) &nbsp; <math>\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \cos^2(x)\sin (x)~dx</math>
+<hr>
+[[009B Sample Midterm 3, Problem 4 Solution|'''<u>Solution</u>''']]
-<span class="exam">Find the total reaction to the drug from <math>t=1</math> to <math>t=6.</math>
+[[009B Sample Midterm 3, Problem 4 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]