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Getting Natural With Pi (Posted on 2007-11-27) Difficulty: 3 of 5
Determine the value of the constant y, whenever:
       y
     (ex - 1)-0.5 dx = pi/6 
      ln(4/3)

where ln x denotes the natural logarithm of x.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: There are two solutions | Comment 5 of 8 |
(In reply to There are two solutions by Kurious)

Since the function being integrated is positive between ln(8-4abs(sqrt(3))) and ln(4/3), the integral with the former as the upper limit of integration will be negative.  The lower value would have to be the lower limit of integration to get a positive definite integral.
  Posted by Charlie on 2007-11-27 21:53:38

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