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Maths for Engineers - 1
Problems On Dirichlet Integrals
Problems on Dirichlet Integrals:
Example1. First we note that with λ = 1 we recover the arc tangent formula
Similarly, 
Example 2. For the Riemann zeta function 
By contrast it is known as critical line.
More broadly,Crandall has shown that when 0 < σ < 1.
Now
Example3. These are the similar formulas for 
For instance applying for the result in the above with the sending functions
On using Euler result we get the above results.