Derivatives and integrals of trig functions
[DOC File]Indefinite Integrals Calculus
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8 Integrating Exponential Functions p.54 9 Integrating Exponential Functions p.55-57 (Worksheet) 10 Integrating Rational Functions p.58 11 Integrating Rational Functions p.59-61 (Worksheet) 12 ... Initial Condition & Integration of Trig Functions Practice. ... This fact enables us to compute derivatives of integrals as in the following example.
[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.
[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.
[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
[DOC File]TRIGONOMETRIC V
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trigonometric hyperbolic definitions, relationships, derivatives, & integrals: sum, double, & half 'angle' identities: inverse function relationships: derivatives of ...
[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 ...
[DOC File]Spring Final Exam Review Topics:
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Integration by Trig substitution. Integrals of the Trig functions and powers of – be able to derive or memorize. Integration by partial fractions. Average value. Derivatives of arccos, arcsin, arctan- inverse Trig functions. Implicit differentiation. Related rates. Convergence/ divergence of series. Taylor/ Maclaurin series. Trapezoids
[DOC File]Calculus II
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Derivatives and Integrals Involving Inverse Trig Functions As part of a first course in Calculus, you may or may not have learned about derivatives and integrals of inverse trigonometric functions. These notes are intended to review these concepts as we come to rely on this information in second-semester calculus.
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