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Lecture 12 – Trig Integrals

Lecture 12 – Trig Integrals. Use u-sub, trig identities, and/or by parts. Trig identities:. Example 1. Example 2. With dealing with sine or cosine functions, you are looking for ( cos x dx ) or (sin x dx ), respectively. Example 3. Example 4. Lecture 13 – More Trig Integration.

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Lecture 12 – Trig Integrals

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  1. Lecture 12 – Trig Integrals Use u-sub, trig identities, and/or by parts.

  2. Trig identities:

  3. Example 1

  4. Example 2

  5. With dealing with sine or cosine functions, you are looking for (cos x dx) or (sin x dx), respectively. Example 3

  6. Example 4

  7. Lecture 13 – More Trig Integration With dealing with tangent or secant, you are looking for (sec2 x dx) or (sec x tan x dx), respectively. Example 5

  8. Example 6

  9. Example 7

  10. When faced with one of the above in an integral , create a • right triangle and substitute trig expressions in  for algebraic • expressions of x. (unless a simple u-substitution is available) Trig Substitution

  11. Lecture 14 –Trig Substitution Example 1

  12. Example 2

  13. Example 3

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