Math Chapter Wise question with answer

Q01 Contour integration () 2 0 log 1 x dx 1 x ∞ + + ∫ gives value equals to, English · UP Higher Asst. Prof. 2021 Q02 Let g be any positively oriented circle whose centre is at the origin. Then the value of the integral ∫ 2 γ cosz dz... English · Bihar (TRE 1.0) -2023 Q03 Residue of complex valued function 1 zcos at z 0 is: z English · OPSC PGT 2017 Q04 The value of the integral ∫ 3 z =1 1 1 z cos dz 2πi z is equal to English · UPPSC Polytechnic Lecturer 2021 (I) Q05 The value of the integral ∫ 2π 0 dθ 3 + 2cosθ is- English · UPPSC Polytechnic Lecturer 2021 (I) Q06 Value of integral ()() 2 c zdz 9 z z i − + ∫, where C is the circle z 2 = (Using Cauchy's integral formula) equals... English · UP Higher Asst. Prof. 2021