- (a) Evaluate the integral
$$\int _ { 0 } ^ { \infty } \frac { \mathrm { d } x } { ( 1 + x ) ^ { 5 } }$$
(b) By putting \(u = \ln x\), determine whether or not the following integral has a finite value.
$$\int _ { 2 } ^ { \infty } \frac { \mathrm { d } x } { x \ln x }$$