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MAT 1235 Calculus II

MAT 1235 Calculus II. Section 7.2 Trigonometric Integrals Part II. http://myhome.spu.edu/lauw. Homework. WebAssign 7.2 Part II. Preview. Use specific substitutions* to evaluate integrals of the form m, n = 0,1,2,3,…. Products of tan m x and sec n x.

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MAT 1235 Calculus II

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  1. MAT 1235Calculus II Section 7.2 Trigonometric Integrals Part II http://myhome.spu.edu/lauw

  2. Homework • WebAssign 7.2 Part II

  3. Preview Use specific substitutions* to evaluate integrals of the form m, n = 0,1,2,3,….

  4. Products of tanmx and secnx It is natural to try to simplify the integral with the substitutions u=tanx and u=secx That means we are looking for terms du=sec2xdx and du=secxtanxdx

  5. Key Identity

  6. Products of tanmx and secnx

  7. Case 1: n = even

  8. Example 1

  9. Case 2: m = odd

  10. Example 2

  11. Case 3: m =even, n= odd

  12. Useful formula

  13. Example 3

  14. Classwork • Do Problem 1 • If time allows, do problem 2 – 7.2 Part I

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