5.2.1		Definition of integrals and the fundamental theorem

Evaluating the integral from a to b of x^k dx Where k Is Any Negative Integer
Other Than -1, Norman Schaumberger, 4:2, 1973, 91-93, C
Some Comments on the Exceptional Case in a Basic Integral Formula, Norman
Schaumberger, 5:3, 1974, 58, C, 5.3.2
Mean Value Type Theorems of Integral Calculus, C. W. Baker, 10:1, 1979, 35-37,
C
Using Integrals to Evaluate Voting Power, Philip D. Straffin, Jr., 10:3, 1979,
179-191, 7.2
Is Ln the Other Shoe?, Byron L. McAllister and J. Eldon Whitesitt, 12:1, 1981,
20-23, 5.3.2
Finding Bounds for Definite Integrals, W. Vance Underhill, 15:5, 1984, 426-429,
C, 5.2.2
Inverse Functions, Ralph P. Boas, 16:1, 1985, 42-47, 5.3.2, 5.4.2
Average Values and Linear Functions, David E. Dobbs, 16:2, 1985, 132-135, C,
5.1.2
Using Riemann Sums in Evaluating a Familiar Limit, Frank Burk, 17:2, 1986,
170-171, C, 5.1.1, 5.3.2
The Derivatives of the Sine and Cosine Functions, Barry A. Cipra, 18:2, 1987,
139-140, C, 5.1.2
Two Simple Recursive Formulas for Summing 1^k + 2^k + ... + n^k, Michael
Carchidi, 18:5, 1987, 406-409, C, 6.3
FFF #6. Cauchy's Negative Definite Integral, Ed Barbeau, 20:3, 1989, 226, F
(also 20:4, 1989, 318)
Riemann Integral of cos x, John H. Mathews and Haines S. Schultz, 20:3, 1989,
237, C
FFF #8. A Positive Vanishing Integral, Ed Barbeau, 20:4, 1989, 317, F (also
20:5, 1989, 404)
Sums and Differences vs. Integrals and Derivatives, Gilbert Strang, 21:1, 1990,
20-27
Teaching Riemann Sums Using Computer Symbolic Algebra Systems, John H. Mathews,
21:1, 1990, 51-55, C, 5.2.2
Using the Finite Difference Calculus to Sum Powers of Integers, Lee Zia, 22:4,
1991, 294-300, 5.4.1, 5.4.2
Physical Demonstrations in the Calculus Classroom, Tom Farmer and Fred Gass,
23:2, 1992, 146-148, C, 1.2, 6.1
How Should We Introduce Integration?, David M. Bressoud, 23:4, 1992, 296-298,
1.2
Riemann Sums and the Exponential Function, Sheldon P. Gordon, 25:1, 1994,
39-40, C, 5.3.2
The Integral of x^(1/2), etc., John H. Mathews, 25:2, 1994, 142-144, C
The Point-Slope Formula Leads to the Fundamental Theorem of Calculus, Anthony J. Macula, 26:2, 1995, 135-139, C
The Rental Car Problem, Gary D. White and Kirby Smith, 27:5, 1996, 374-378, C, 5.1.4
An Example Demonstrating the Fundamental Theorem of Calculus, Bob Palais, 29:4, 1998, 311-312, C