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Getting Natural With Derivative And Integral (Posted on 2010-02-11) Difficulty: 2 of 5
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:

∫ G(y)* y-2 dy = 0.5


∫ G(y)*ln y dy

Note: ln y denotes the natural logarithm of y.

No Solution Yet Submitted by K Sengupta    
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re: Time for a solution, KS? | Comment 2 of 4 |
(In reply to Time for a solution, KS? by JayDeeKay)

Or at least a hint.  I couldn't make any headway worth sharing.
  Posted by Jer on 2010-02-18 13:16:20

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