Question

Question #fcd99

Answer 1

K = `1/2`

Explanation:

The denominator of the integrand is `8( x^2 + (1/2)^2)`
Integrating and substituting the limits,
`(1/8) X 1/(1/2)X (tan^-1 (K/(1/2))) = pi/16`
`tan^-1(2K) = pi/4`
2K = tan `pi/4` = 1