Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains Try using Substitution Va - z = a sin 0, – sos a tan 0, - < 0 < a sec 8, 0<0< 풀or 플 <8<ㅠ Va? + a² V – a? Part 1. Using the substitution: æ = 2 sec 0 , 0 < 0 < , re-write the indefinite integral then evaluate in terms of 0. Suppose that z > 2. Then, dr Note: type 'theta' for 0 and 'dtheta' for de. Part 2. Back substituting in the antiderivative you found in Part 1. above we have dæ =O dz
Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains Try using Substitution Va - z = a sin 0, – sos a tan 0, - < 0 < a sec 8, 0<0< 풀or 플 <8<ㅠ Va? + a² V – a? Part 1. Using the substitution: æ = 2 sec 0 , 0 < 0 < , re-write the indefinite integral then evaluate in terms of 0. Suppose that z > 2. Then, dr Note: type 'theta' for 0 and 'dtheta' for de. Part 2. Back substituting in the antiderivative you found in Part 1. above we have dæ =O dz
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.2: Trigonometric Functions Of Real Numbers
Problem 79E
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