How to solve the complex integration?

How to solve integration of w.r.t. "r"?

1/{r((sum(x+b)/b)^a)+r} upper limit=s lower limit=0

Answer 1

[Walter Roberson]

(sum(x+b)/b)^a is a constant with respect to r, so you can logically replace this with

syms C r s
result = int(1 / (r*C + r), r, s, 0)
subs(result, C, sum(x+b)/b)

However, look more closely at that denominator. It is r*(C+1) . Now look at the upper bound: it is r = 0. So you are integrating something that has an upper bound of 1/(0*(C+1)) which is 1/0 . The result is going to be -infinity times sign(C+1) .

No need to do the actual integration.

Answer 2

[madhan ravi]

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