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[DOC File]Integration by Substitution
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Compute by hand the integrals of a wide variety of functions by using technique of Trigonometric Substitution. Combine this technique with other integration techniques to integrate. When we are faced with integrals that involve radicals of the forms and we may make substitutions that involve trigonometric functions to eliminate the radical.
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[DOC File]Inverse Functions
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Derivatives of Exponential Functions. Example 9: Find the derivative of . Solution: Applying the rule for differentiating an exponential function, Example 10: Find the derivative of . Solution: Since . Example 11: Find if . where and are constants and . Solution: We apply the exponential derivative and the Chain Rule: Integrals Involving ...
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[DOC File]Computing Indefinite Integrals
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We also can see that for r not equal to -1, . So, since integrals reverse derivatives, we have . Give an example. Explain how to check your answers: Differentiate the answer and make sure it is the original function. Have each table come up with the antiderivative formulas for all the trig functions by reversing the derivative formulas.
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[DOC File]AP® Calculus AB
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H. Derivatives of Inverse Trig functions. I. Derivatives of logarithmic and exponential functions. IV. Applications of the Derivative (3 weeks) A. Extreme Values. 1. Local (relative) extrema. 2. Global (absolute) extrema. B. Using the derivative. 1. Mean Value Theorem. 2. Increasing and decreasing functions. C. Graphs of first and second ...
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[DOC File]Math 1131 = Math 115 STUDY GUIDE FOR THE FINAL EXAM
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All Problems are Worth Two Points Each. 5.1-5.2 Integrals by Riemann Sums. 5.3 Definite integrals a.b. 5.5 Substitution a.b. 5.5 Substitution a.b.
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[DOCX File]California State Polytechnic University, Pomona
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The difference between antiderivatives and integrals, the difference between definite and indefinite integrals. ... Practice with finding derivatives of various functions to review chain rule, product & quotient rule, power rule, etc. Graphing: Trig Functions. How to graph trig functions: sine, cosine, tangent, secant, cosecant, and cotangent ...
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[DOC File]Department of Physics and Mathematics
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Week 1 Derivatives and Integrals of Inverse Trig and Hyperbolic functions. Week 2 Techniques of Integration. Week 3 Techniques of Integration. Week 4 Techniques of Integration. Week 5 Techniques of Integration. Week 6 Indeterminate Forms. Improper Integrals. Week 7 Sequences & Series. Week 8 Spring Break. Week 9 Sequences & Series
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[DOC File]Integration by Substitution
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Already know and understand derivatives and know the derivatives of all trig functions. Know and be able to use basic integration techniques. Objectives: Students will be able to use substitution as a method of solving indefinite and definite integrals.
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Derivatives and integrals of all trig functions