Determine the value of the constant y, whenever:
_{y}
∫(e^{x}  1)^{0.5} dx = pi/6
^{ln(4/3)}
where ln x denotes the natural logarithm of x.
(In reply to
There are two solutions by Kurious)
Since the function being integrated is positive between ln(84abs(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 20071127 21:53:38 