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Trigonometric Integrals. Antiderivatives that Deal with the Trigonometry We already know the following from Chapter 4: But what are the integrals of tangent,

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Presentation on theme: "Trigonometric Integrals. Antiderivatives that Deal with the Trigonometry We already know the following from Chapter 4: But what are the integrals of tangent,"— Presentation transcript:

1 Trigonometric Integrals

2 Antiderivatives that Deal with the Trigonometry We already know the following from Chapter 4: But what are the integrals of tangent, secant, cosecant, and cotangent?

3 Example 1 Find. Define u and du: Substitute to replace EVERY x and dx: Substitute back to Leave your answer in terms of x. Integrate. Trick:

4 Example 2 Find Define u and du: Substitute to replace EVERY x and dx: Solve for dx Substitute back to Leave your answer in terms of x. Integrate.

5 Integrals Involving Trigonometric Functions Cotangent and Secant can be found in a similar manner as Tangent and Cosecant (respectively). The work is in the textbook.


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