The values of the integral along a closed contour c in anti-clockwise direction for
(i) the point z0 = 2 inside the contour c, and
(ii) the point z0 = 2 outside the contour c, respectively, are
The value of the integral dz in counter clockwise direction around a circle C of radius 1 with center at the point z = −2 is
1 Crore+ students have signed up on EduRev. Have you? Download the App |
If C is a circle of radius r with center z0, in the complex z-plane and if n is a non-zero integer, thenequals
If f(z) is analytic in a simply connected domain D, then for every closed path C and D
The value of the contour integral in the complex plane
along the contour |z| = 3, taken counterclockwise is
Evaluate where C is the rectangular region defined by x = 0, x = 4, y = -1 and y = 1
The value of the integral
evaluated using contour integration and the residue theorem is
Let C represent the unit circle centered at origin in the complex plane, and complex variable, z = x + iy. The value of the contour integral (where integration is taken counter clockwise) is
The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is:
65 videos|120 docs|94 tests
|
65 videos|120 docs|94 tests
|