Let C denote the line segment from z = 2i to z = 2. Prove that
| Line Integral on C ((z+2)/((z^4) + 1))dz | <= (8/3) sqrt 2 , without evaluating the integral.
Here the line segment is of length L = 2sqrt(2), and we are expected to get use of the ML formula, i guess. But actually i couldn't get a reasonable upper bound for the expression (z+2)/ ((z^4) + 1)). Can you help me with this problem?
Lastly, i'm considered to be a newbie in complex calculus, and i wonder whether there exists a useful procedure to determine a lower bound M for a continuous function on a smooth curve C.
| Line Integral on C ((z+2)/((z^4) + 1))dz | <= (8/3) sqrt 2 , without evaluating the integral.
Here the line segment is of length L = 2sqrt(2), and we are expected to get use of the ML formula, i guess. But actually i couldn't get a reasonable upper bound for the expression (z+2)/ ((z^4) + 1)). Can you help me with this problem?
Lastly, i'm considered to be a newbie in complex calculus, and i wonder whether there exists a useful procedure to determine a lower bound M for a continuous function on a smooth curve C.