Lesson 6 Integration of Trigonometric Functions

Lesson 6 Integration of Trigonometric Functions -...

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Click to edit Master subtitle style 8/19/11 ANTIDERIVATIVES

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Click to edit Master subtitle style 8/19/11 THE BASIC TRIGONOMETRIC INTEGRATION FORMULAS OBJECTIVES: recall and apply the different trigonometric identities in simplifying a function; and integrate trigonometric functions using their differentials as the basis for evaluation
Click to edit Master subtitle style 8/19/11 BASIC TRIGONOMETRIC FORMULAS From the differentials of the trigonometric functions, we derived the following integration formulas: C u tan u sec ln du u sec 5. C u csc - du u cot cscu 10. C sinu ln du u cot 4. C u sec du tanu secu 9. C cosu ln du u tan C u cot - du u csc 8. C secu ln du u tan 3. C u tan du u sec 7. C u sin du u cos . 2 C u cot u csc ln du u csc 6. C u cos du u sin . 1 2 2 + + = + = + = + = + - = + = + = + = + = + - = + - =

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Click to edit Master subtitle style 8/19/11 TRIGONOMETRIC IDENTITIES : Reciprocal Identities : u tan 1 u cot . 6 u csc 1 u tan . 3
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Lesson 6 Integration of Trigonometric Functions -...

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