An Accumulaotr function without a constant 4-4 (p. 294 #81) Without one of the limits being a constant, you can't use the 2nd FTC... what to do?  Invent one!

An Accumulation function (4.4 p. 293# 67)  An Accumulation function is a function that is a function of the accumulation of area under a curve.  A nice feature is that the derivative is based on the integrand itself

 Estimating a Definite Integral (4.3 p278 #53) Estimating a definite integral with the area of rectangles. 

 Properties of Integrals (4.3 p 279 #49) Here we demonstrate breaking apart integrals, changing the limits and capitalizing the properties of odd and even functions.

 Review of Sigma Sums (4.2 p 267 #9, 22) We explain some useful sum formulas, work some examples, then show how to use the TI-84 to confirm our result.

 A Particle Moves along the x-Axis (4.1 p. 256 #65) We often have this one-dimensional particle that moves along the x-axis as an AP exam question, and a number of things can be surmised fromthe first and second derivatives....

  How High Will It Go (in Europe) (4.1 p. 256) # 60 This time we find the maximum height of a ball thrown into the air in meters.  All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 9.8 meter per second per second.

 How High will It Go? (4.1 (p 256 #57) We find the maximum height of a ball thrown into the air.  All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 32 feet per second per second.

 A Particular Antiderivative (4.1 (p.255) #44 Antiderivatives usually have a " + C" but given some particular points, we can find a particular solution.

 Some Basic Antiderivatives (4.1 p. 255 27, 31, 33) Some antiderivatives for beginners. Don't forget there is usually a nice table of anti derivatives on the inside cover of your textbook.  These are General solutions we add a C (for an arbitrary constant) to describe all the functions that have the integrand as a derivative.