Compute the following real or complex integrals by using the residue method: (i) (ii) (iii) +o...

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Compute the following real or complex integrals by using the residue method: (i) (ii) (iii) +∞o elax [x: dx, a² +x² -2πT where a is a real number. $ where n and m are integers, and is a circuit enclosing the origin once in an anti-clockwise direction. dz 2n-m+1' 5. do 5-4 cos(0)' To solve this, you should use the fact that cos(0) = ¹, then let z = eit 2 Compute the following real or complex integrals by using the residue method: (i) (ii) (iii) +∞o elax [x: dx, a² +x² -2πT where a is a real number. $ where n and m are integers, and is a circuit enclosing the origin once in an anti-clockwise direction. dz 2n-m+1' 5. do 5-4 cos(0)' To solve this, you should use the fact that cos(0) = ¹, then let z = eit 2