Difference between revisions of "009B Sample Midterm 1, Problem 5"

Latest revision as of 16:05, 12 November 2017

Evaluate the integral:

\int \sin ^{3}x\cos ^{2}x~dx

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-<span class="exam">Let <math>f(x)=1-x^2</math>.
-::<span class="exam">a) Compute the left-hand Riemann sum approximation of <math>\int_0^3 f(x)dx</math> with <math>n=3</math> boxes.
+<span class="exam"> Evaluate the integral:
-::<span class="exam">b) Compute the right-hand Riemann sum approximation of <math>\int_0^3 f(x)dx</math> with <math>n=3</math> boxes.
-::<span class="exam">c) Express <math>\int_0^3 f(x)dx</math> as a limit of right-hand Riemann sums (as in the definition of the definite integral). Do not evaluate the limit.
+::<math>\int \sin^3x \cos^2x~dx</math>
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-!Foundations: &nbsp;
+[[009B Sample Midterm 1, Problem 5 Solution|'''<u>Solution</u>''']]
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+[[009B Sample Midterm 1, Problem 5 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]