(1) a) Using the Cauchy Integral formula (or otherwise) compute the following integrals S dz iii) S (2²+9) (z+9) i) S 121=1 z²²+2Z ez COSTIz dz ii) { coshz 12-2)=224-1 -dz lui) 121=4 2 2
Q: Part b
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1.a)i)
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- Find integral of ydy/square root of y + 2 using the substitution u + 5 = square root of y + 2.Exercises Caleulate the following integrals: 2'Gsade (2-1)(a-2) 121=+ 4) -da, where c in 2+1 the two circuit Cases as follaus: 2) Cos 2 de a) c: (2+/=1 b) C: 12--1 (2-1)(2-t) 121=3 e Sin? 21-2 where C: 12-%=D4.(2x² +)x dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the power formula applies; such that the new integral is now written in this form: a fu"du. What is u?