Difference between revisions of "009B Sample Midterm 1, Problem 2"

Latest revision as of 16:01, 12 November 2017

Evaluate the indefinite and definite integrals.

(a) $\int x^{2}{\sqrt {1+x^{3}}}~dx$

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

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-<span class="exam">Find the average value of the function on the given interval.
+<span class="exam">Evaluate the indefinite and definite integrals.
-::<math>f(x)=2x^3(1+x^2)^4,~~~[0,2]</math>
+<span class="exam">(a) &nbsp; <math>\int x^2\sqrt{1+x^3}~dx</math>
+<span class="exam">(b) &nbsp; <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}~dx</math>
+<hr>
+[[009B Sample Midterm 1, Problem 2 Solution|'''<u>Solution</u>''']]
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+[[009B Sample Midterm 1, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]