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This quiz tests the work covered in Lecture 21 and corresponds to Section 5.2 of thetextbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum etal.).There are no Wiley web quizzes for this topic.
Đang xem: Integral quiz
If you need some help on sigma notation then go tohttp://quiz.econ.wnyrails.org.edu.au/mathquiz/sigma/index.php for quizzes and webresources.
Questions 6 and 7 at http://www.wnyrails.org/u/UG/JM/MATH1011/Quizzes/quiz10.htmlcould be useful.
There is an excellent animation of the general Riemann sum athttp://archives.math.utk.edu/visual.calculus/4/riemann_sums.4/index.html.
Which of the following is the left hand sum, withn = 4, for∫ 15(1 + x2)dx?Exactly one option must be correct)
Choice (a) is correct!
Left hand sum∑ i=03f(xi)Δx = ∑ i=03(1 + xi)Δx whereΔx = 5 − 1 4 = 1,x0 = 1 andx4 = 5.
So the left hand sum = f(1) × 1 + f(2) × 1 + f(3) × 1 + f(4) × 1 = 2 + 5 + 10 + 17 = 34