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Riemann Sums Sec. 14-2 LEQ: HOW CAN YOU USE A RIEMANN SUM TO ESTIMATE THE AREA UNDER A CURVE?
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Riemann Sum
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Riemann Sums on TI-83 & 84’s Write a new program…name it Riemann Enter the following lines in the program, pressing ENTER after each line Press PRGM 4 to get “For”; press PRGM 7 to get “End” : 0 sto S : (B – A) / N sto H : For(K, 1, N) : A + (K – 1 + V) * H sto X : S + Y 1 sto S : End : H * S
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Test your program Compute the left Riemann Sum for the f(x) = x 2 on the interval [2, 4] with 10 subintervals Press QUIT to exit Prgm mode Define Y 1 = x 2 in the equation editor Assign the appropriate values A (left endpoint of interval), B (right endpoint of interval), N (number of subintervals), V (type of sum; 0 for left,.5 for midpoint, 1 for right) 2 sto A 4 sto B 10 sto N 0 sto V PRGM, EXEC, (Riemann) ENTER…correct answer 17.48
![Test your program Compute the left Riemann Sum for the f(x) = x 2 on the interval [2, 4] with 10 subintervals Press QUIT to exit Prgm mode Define Y 1 = x 2 in the equation editor Assign the appropriate values A (left endpoint of interval), B (right endpoint of interval), N (number of subintervals), V (type of sum; 0 for left,.5 for midpoint, 1 for right) 2 sto A 4 sto B 10 sto N 0 sto V PRGM, EXEC, (Riemann) ENTER…correct answer 17.48](http://images.slideplayer.com./35/10431113/slides/slide_4.jpg "Test your program Compute the left Riemann Sum for the f(x) = x 2 on the interval [2, 4] with 10 subintervals Press QUIT to exit Prgm mode Define Y 1 = x 2 in the equation editor Assign the appropriate values A (left endpoint of interval), B (right endpoint of interval), N (number of subintervals), V (type of sum; 0 for left,.5 for midpoint, 1 for right) 2 sto A 4 sto B 10 sto N 0 sto V PRGM, EXEC, (Riemann) ENTER…correct answer 17.48")
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Your Turn LM 14-2 #1-3
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Homework Pgs. 825-827 #1-4, 10-17, 22, 23
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