Question

If m = ∫sec^–1 (sec πx) dx for x ∈ [0,100] and n = [sec^–1 (sec πx)] dx for x ∈ [0,3/π], find the value of ((m/π) + nπ + (π/4) + 4). 

Answer 1

We have, 

= 50 × (1/2) × 2 × π

= 50π

Also, 

Now,

= 50 + 6 + 4 

= 60