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[DOC File]116Deriv review95 - Saint Mary's College
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MATH 116-2006. Derivative & Antiderivative review . This review covers (most of) the first-semester material on limits, derivatives, and antiderivatives that we will call upon for second semester (doesn't include much on graphs, on log & exponential, exponential growth functions, or trig functions - which also will show up quite a bit).
common antiderivatives

[DOC File]Inverse Functions
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In problems #1-3, find the inverse function of and verify that . In problems #4-6, use the horizontal line test to determine if the following functions have inverses. In problems #7-8, use the functions and to find the specified functions. In problems #9-10, show that is monotonic (invertable) on the given interval (and therefore has an inverse).
inverse trig functions antiderivatives

[DOC File]MATH 115 ACTIVITY 1:
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Some remarks on identifying u, v’:We select u, v’ so that will be simpler than , Since exponential and trig functions have antiderivatives that are no messier than the functions, they are candidates for v’. Since the logarithm is hard to deal with, ln(x) (or powers of ln(x)) is always a prime candidate for u.
derivatives and integrals of all trig functions

[DOC File]Integration by Substitution
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Graph and then find the area of the surface generated by the curve from x = 0 to x = 1 and revolved about the x-axis. Review Answers. Surface area is . 10.6 Improper Integrals. Learning Objectives. A student will be able to: Compute by hand the integrals of a wide variety of functions by using the technique of Improper Integration.
antiderivative of sine

[DOC File]Review for Test 1
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Easily find or memorize the antiderivative of tangent. Section 7.3: Trigonometric Substitution. Memorize the three trig substitutions. Be able to quickly construct the triangles corresponding to the substitutions. Understand how to use double angle formulas as in the classroom examples. There will NOT be any hyperbolic functions (Example 5.
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[DOC File]MATH 115 ACTIVITY 1:
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MATH 116 ACTIVITY 2: Calculus (derivative and antiderivative) with trig functions. WHY: The trigonometric functions complete the set of "elementary functions" from which we build (by composititon, multiplication, etc.) most of the functions used in applications. This activity is intended to allow us to revisit the basic derivative and ...
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[DOC File]Indefinite Integrals Calculus
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Find antiderivatives of functions. Represent antiderivatives. Interpret the constant of integration graphically. Solve differential equations. Use basic antidifferentiation techniques. Use basic integration rules. Introduction. In this lesson we will introduce the idea of the . antiderivative. of a function and formalize as . indefinite integrals.
trig derivatives and integrals

[DOC File]Computing Indefinite Integrals
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Have each table come up with the antiderivative formulas for all the trig functions by reversing the derivative formulas. Have them work on figuring out the antiderivative formulas for ex, ax, and ln(x). Explain how the ln(x) fills in the hole from before where x = -1. Teach the students how to do integrals on their TI-89 calculator. Homework:
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[DOC File]Indefinite Integrals Calculus
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In problems #1–3, find an antiderivative of the function . In #4–7, find the indefinite integral . Solve the differential equation . Find the antiderivative of the function that satisfies . Evaluate the indefinite integral . (Hint: Examine the graph of.) Review Answers Indefinite Integrals Practice
common antiderivatives

How to find antiderivative of trig functions