The above Approximating Sums can be found using a simple program on the calculator called RIEMANN PROGRAM: RIEMANN : Float To create this on your calculator Press PRGM 10 display the PRGM NEW menu CirHome : Prompt A, B, N Press ENTER to select 1: Create New. The Name- prompt is displayed (and the A-LOCK is on with the TI 83 Plus), type in RIEMANN the name of the program : For (I, 1, N-1) The commands Float and CirHome are in the CATALOG press 2nd Oand scroll down. : End The ALPHA key lets you enter the alphabetic characters To enter R, for example, press ALPHA.release it, and then press xIf you have to enter several alphabetic characters press 2ndALPHA to get the A-lock so that you avoid pressing the :Output( 4,1, L : Output( 4,7, L) : Output( 5,1, R : Output( 5, 7, R) :Output( 6,1, T" : Output( 6,7,T key many times. After typing the program's name, press ENTER The program editor is displayed The commands Disp, Prompt and Output are in the PRGM VO( input/output) menu. Press PRGM 0-M : A+H/2-X : For( I, 1, N) : M+ Y1(X) M The commands For and End are in the PRGM CTL (control) menu. Press PRGM To get the Y', press MARS to display the Y-VARS menu, select 1: Function to display the Yo functions. : End Output( 7,1, M) ..is ALPHAEL:is ALPHA [.] . is the STa : Output( 7,7, M) : Output( 8,1, S(2N) ) : Output( 8, 7,(T+2 M)y3) key. . When done typing the program, Press 2nd QUIT leave the program editor and return to the home screen. We can use the RIEMANN program to approximate the following integral: L3xa . Press Y ] and setYa3x. Press 29 um to go to the home screen. . Press PRGM to display the PRGM EXEC menu. Select the program's name and press ENTER to . The program will prompt you for A, the left endpoint of the interval, B, the right endpoint of the execute the program. interval, and N, the number of partitions. It gives you the Left Riemann Sum L, the right Riemann Sum R, the midpoint approximation M, the Trapezoidal approximation T, and Simpson's approximation S . To change A, B, or N, just press ENTER. The program executes another time and prompts you to enter new values for A, B, and N. The above Approximating Sums can be found using a simple program on the calculator called RIEMANN PROGRAM: RIEMANN : Float To create this on your calculator Press PRGM 10 display the PRGM NEW menu CirHome : Prompt A, B, N Press ENTER to select 1: Create New. The Name- prompt is displayed (and the A-LOCK is on with the TI 83 Plus), type in RIEMANN the name of the program : For (I, 1, N-1) The commands Float and CirHome are in the CATALOG press 2nd Oand scroll down. : End The ALPHA key lets you enter the alphabetic characters To enter R, for example, press ALPHA.release it, and then press xIf you have to enter several alphabetic characters press 2ndALPHA to get the A-lock so that you avoid pressing the :Output( 4,1, L : Output( 4,7, L) : Output( 5,1, R : Output( 5, 7, R) :Output( 6,1, T" : Output( 6,7,T key many times. After typing the program's name, press ENTER The program editor is displayed The commands Disp, Prompt and Output are in the PRGM VO( input/output) menu. Press PRGM 0-M : A+H/2-X : For( I, 1, N) : M+ Y1(X) M The commands For and End are in the PRGM CTL (control) menu. Press PRGM To get the Y', press MARS to display the Y-VARS menu, select 1: Function to display the Yo functions. : End Output( 7,1, M) ..is ALPHAEL:is ALPHA [.] . is the STa : Output( 7,7, M) : Output( 8,1, S(2N) ) : Output( 8, 7,(T+2 M)y3) key. . When done typing the program, Press 2nd QUIT leave the program editor and return to the home screen. We can use the RIEMANN program to approximate the following integral: L3xa . Press Y ] and setYa3x. Press 29 um to go to the home screen. . Press PRGM to display the PRGM EXEC menu. Select the program's name and press ENTER to . The program will prompt you for A, the left endpoint of the interval, B, the right endpoint of the execute the program. interval, and N, the number of partitions. It gives you the Left Riemann Sum L, the right Riemann Sum R, the midpoint approximation M, the Trapezoidal approximation T, and Simpson's approximation S . To change A, B, or N, just press ENTER. The program executes another time and prompts you to enter new values for A, B, and N
