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1 8 3 Trig Substitution Recall Compute the following derivatives d 1 x sin dx a d 1 x tan dx a d 1 x sec dx a These derivatives are the keys to using trig substitutions to integrate When necessary use the following chart to guide you in making trig substitutions If the integral contains a power of Then use the following substitution a2 x2 x2 a2 x2 a2 As with inverse trig functions reference triangle can be especially useful in your substitution Examples 2 p 4 x2 dx 2 1 x3 dx 4x2 9 On Beyond Average x2 dx 9 x2 x2 1 dx 2x 5 2
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