### Calc I Questionbook - Questions    © 1987, 1995, 2003 A. Azzolino

32. Casa Omar, Antiderivative Connect-the-Dots
 Connect the answer dots in order. Start a NEW LINE and connect the answer dots in order. Start a NEW LINE and connect the answer dots in order. Start a NEW LINE and connect the answer dots in order. Start a NEW LINE and connect the answer dots in order. Start a NEW LINE and connect the answer dots in order. Start a NEW LINE and connect the answer dots in order.
33.
1st: A function, its definite integral and its derivative have a special relationship expressed by the Second Fundamental Theorem of Calculus.
In ONE equation, the SECOND Fund. Theorem, relates all THREE functions.
State the Second Fundamental Theorem of Calc as related on page 282 of the text.

2nd: Often the derivative of a function has been called the slope function for that function.
The antiderivative -- specifically the indefinite integral -- may be called the accumulator function.
Explain this use.
34. Errors occur most often when a calc student completes the algebraic evaluation necessary after the calculus of the Fundamental Theorem of Calculus is completed.
A calculator function decreases these errors IF A CONSTANT IS THE DESIRED RESULT.

If a nonconstant function is one of the limits of integration, the calculator does not help.

The function is summarized below.

In [MATH], [NUM] the 9th functions is fnInt(expression,variable,lowerlimit,upperlimit).

Perhaps use this function to assist you.
35.Complete page 297, problems 8, 10, 12, 16, 24, 42, 46, 58, 60.
36. Complete pg 321, problems 21, 23, 26, 29, 33, 45, 47, 48, 78, 79.
37.The derivative and antiderivative are inverse functions.

Create a table of the derivative of all six basic trig functions. [See page 121.]

Copy the table of antiderivative of trig functions. [See page 329.]
38. Complete pg 347, problems 38, 39, 40, 42, 44, 50, 52, 54, 65, 66.
39. Complete
page 349, problems 87, 89, 92, 94, 108, 115
page 357, problems 44, 64, 66
40. Write a letter to the instructor discussing the things you learned best, the things in which you are the weakest, your facility with the calculator, and anything else you care to discuss.