Unformatted text preview: x ↔ x-x . Then the last equation becomes y π = sin y 2 π ² ∞-∞ 1 e x + e-x-2 cos y dx. Evaluate the right side in the case y = π 2 . The answer should be 1 / 2. Then try y = π/ 4. The answer should be 1 / 4. (I tried it on Mathematica. It works.) Out of this exercise, you can get the interesting integral formula 2 y sin y = ² ∞-∞ 1 e x + e-x-2 cos y dx (0 < y < π ) ....
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This note was uploaded on 12/22/2011 for the course MAP 3305 taught by Professor Stuartchalk during the Fall '11 term at UNF.
- Fall '11