Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains √a²-x²

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Trigonometric Substitutions The Three Basic Trigonometric Substitutions Are In The Table Below Integral Contains A X 1 (33.22 KiB) Viewed 51 times

Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Integral Contains √a²-x² √a² + x² 2 a² Part 1. Using the substitution: = tan0,-<0<, re-write the indefinite integral then evaluate in terms of 0. 23 S -10-0 √1+z² Note: type 'theta' for 0 and 'dtheta' for de. Part 2. Back substituting in the antiderivative you found in Part 1. above we have 1₂ I³ Try using Substitution x=asin 0, x=atan 0, x=a sec 0, dz= +x² Note: answer should be in terms of a only. ≤0 <0 < 1 0≤0< or <0 ≤