Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains Try using Substitution Va? – 2? Va? +22 V– a² I= a sin 0, -<0< z= asec 8, 0<8< 풀 or 풀 <8<ㅠ I= a tan 0, Part 1. Using the substitution: z = tan 0, - 5 <0< 4, re-write the indefinite integral then evaluate in terms of 0. 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 de +22 Note: answer should be in terms of r only.

Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains Try using Substitution Va? – 2? Va? +22 V– a² I= a sin 0, -<0< z= asec 8, 0<8< 풀 or 풀 <8<ㅠ I= a tan 0, Part 1. Using the substitution: z = tan 0, - 5 <0< 4, re-write the indefinite integral then evaluate in terms of 0. 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 de +22 Note: answer should be in terms of r only.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Analytic Trigonometry

Section2.1: Using Fundamental Identities

Problem 74E

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