Find the value of the real number k, given that

|k
|
| 1/ x^2 - 4x + 5 = pi/4
|
|0

k and zero are the limits as seen above

i am getting as far as.......[tan^(-1) k - 2] - [tan^(-2)] = pi/4
is this right???? and can anyone find the value of k for me????

cheers