**Introduction**

This program computes left, right, Trapezoid, Midpoint, and
Simpson's approximations for
.

If you have not used one of the programs posted on this website before,
you should read through
the information in the Intro to Programming
section first.

**The Program **

'ALLSUMS' | {' is in ALPHA} {This is the name of the program} |

Lbl 1 | {Lbl is in PRGM under JMP} |

"A"?A | {" is in ALPHA} {? is in PRGM} { is on the , button} |

"B"?B | |

"N"?N | |

(B-A) N H | |

AX | |

0L | {The 0 is a zero} |

0M | {The 0 is a zero} |

Lbl 2 | |

L+f1H L | {f1 is in Fmem. Choose fn, then type a 1} |

X+H 2 X | |

M+f1H M | |

X+H 2 X | |

Dsz N | {Dsz is in PRGM under JMP} |

Goto 2 | {Goto is in PRGM under JMP} |

BX | |

L+f1H R | |

AX | |

R-f1H R | |

(L+R) 2T | |

(2M+T)3 S | |

"L R T M S" | |

L | { is in PRGM} |

R | |

T | |

M | |

S | |

Goto 1 |

**Running the Program**

You will need to enter a function *f*(*x*) into
f1 before running
the program.
Store your function by hitting Fmem.
Store your equation in position 1. The program will ask for values of A, B, and N (number of
subdivisions).

To test the program try the following:

*f*(*x*) = x^{2}+ 3,
A=1, B=4, N=20.

Your answer will be

L R T M S

28.88625

31.13625

30.01125

29.994375

30

To get each estimate hit EXE.