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Unformatted text preview: Trigonometric Substitutions For Use Expression in the Integrand Trigonometric Substitution a2 - x2 a2 + x2 x2 - a2 x = a sin , - x = a tan , x = a sec , To Obtain a 1 - sin 2 = a cos a 1 + tan 2 = a sec a sec 2 - 1 = a tan 2 2
- < < 2 2 0 < or 2 3 < 2 x sin = a a x - 2 2 - 2 2 a2 + x2 tan = x a x a x x sec = a x2 - a2 a ...
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .
- Spring '08