SKEDSOFT

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.