I gave 2 hints below, I need the solution of the first ss,'4'.

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I gave 2 hints below, I need the solution of the first
ss,'4'.

I Gave 2 Hints Below I Need The Solution Of The First Ss 4 1 (25.97 KiB) Viewed 44 times

I Gave 2 Hints Below I Need The Solution Of The First Ss 4 2 (10.94 KiB) Viewed 44 times

I Gave 2 Hints Below I Need The Solution Of The First Ss 4 3 (7.75 KiB) Viewed 44 times

Let a=Q1 2 be the curve sketched in the figure with R > 1 and f(x):= 1 + 22 1 Im IR 02 -R 01 R Re Show: lim R 1.562) dz = L. 5(2) dz + ( (. | $(2* f(z) dz=1 and -. \5.512) del = 0. ( Deduce that: Laitez de = lim Linte de These indefinite integrals could have been calculated more easily (arctan is a primitive!). However, this gives a first indication of how one can compute real integrals using complex methods. We shall return to this when applying the residue theorem cf. III.7). R dr =T. R + 2
The value of the integral is obtained by splitting itzz = 1 (+ - z+i). For (一) the estimate, use the standard method II.1.5, (2). 1+ i
The "standard estimate" states 1.565) as scul(a), if |S(0)| SC for all ( e Image a . f() <, < € a .