Problem involve estimating the area under the curves in Figures A–D from x = 1 to x = 4. For each figure, divide the interval [1, 4] into three equal subintervals.

Using the results of Problem 15, compute L₃ and R₃ for Figure A and for Figure B.

Problem 15

Draw in left and right rectangles for Figures A and B.

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f(x) g(r) 10 10 9 8 7 7 6. -y= f(x)- y = g(x) 5 5 4 3 2 1 1 1 2 3 4 2 3 4 5 (A) (B) u(x) v(x) 10 10 9. 9. 8 7 7 y = u(x). y = v(x) 4 5 4 3 2 1 1 4 1 3 4 (C) (D) 2. 3. 2. 432