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  3. 1 23 p 111 l k k lll kkk 246 evaluate the followin

1 23 P 111 L K K LLL KKK 246 Evaluate the following integrals for...

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Calculus

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1 23 P 111 L K K LLL KKK 246 Evaluate the following integrals for a pathy that travels from Ti to Ti in the right half plane and also for a pathy from Ti to i in the left half plane d J sinh z dz a zdz b edz c co Solution The integrals are all independent of path and can be evaluated by finding a primitive a b c L co d sir 7 i z dz 6 xx 2x i 5 5 5 5 Ti cos z dz sin z Ledz e dz e ei e i 1 1 0 sin 72 sin i 2 sinh z dz cosh zi cos z dz ei ni e i ni 2i cosh Ti cosh i ei ni e i i 2i 2 e e 2i ei e Ti i e e T e i e i 0

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