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

Trig identities: 2

3 Example 1

4 Example 2

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

6 Example 4

Lecture 13 – More Trig Integration 7 Example 5 With dealing with tangent or secant, you are looking for (sec 2 x dx) or (sec x tan x dx), respectively.

8 Example 6

9 Example 7

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11 Trig Substitution 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)

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Lecture 14 –Trig Substitution 13 Example 1

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15 Example 2

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17 Example 3

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