Math Chapter Wise question with answer

Q01 Consider the integrals I1 = () c, ∫ z 4 e dz z +1 where c is a circle z = 2 And I2 = c, ∫ 2 sin3z dz z, where c is... English · DSSSB PGT 2021 Q02 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 Q03 Find f(z) = u + iv where x u(x, y) = e (xcosy - ysiny) English · PGT 2003 Q04 If C is a positively oriented simple closed contour within and on which function f is analytic, except for a finite... English · JSSC PGT 2018 Q05 Using Residue Theorem, evaluate the integral ʃ (5z – 2) English · JSSC PGT 2018 Q06 For f (z) = z 4 e sinhz z, the residue at z = 0 is English · UPPSC GDC 2021