L15b - Trigonometric Substitutions _part 2_

L15b - Trigonometric Substitutions _part 2_ - Trigonometric...

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Trigonometric Substitution Continued (Section 7.3) Recall: RULES FOR TRIG SUBSTITUTION (trig change of variables) If An Integrand Contains: Use: 1. a 2 x 2  n 2 , n 0 x a sin Since sin 2  cos 2  1 2. a 2 x 2 n 2 , n 0 x a tan Since 1 tan 2 sec 2 3. x 2 a 2 n 2 , n 0 x a sec Since sec 2  1 tan 2
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We can also use this for definite integrals. Ex: Evaluate 4 x 2 (1 x 2 ) 3/2 dx 0 1/2
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More Practice: Ex. What is the appropriate trig change of variables to use to simplify the integral x 4 (5 x 2 3) 5/2 dx Ex. What is the appropriate trig change of variables to use to
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This note was uploaded on 08/28/2011 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

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L15b - Trigonometric Substitutions _part 2_ - Trigonometric...

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