The function G is such that each of G, G’ and G” exists and is continuous on the interval [0, e].
It is further known that G’(e) = G(e) = G’(1) = G(1) = 1, and:
e
∫ G’(y)* y^{-2} dy = 0.5
1
Evaluate:
e
∫ G”(y)*ln y dy
1
Note: ln y denotes the natural logarithm of y.