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what is the interval in which the integral from 0 to 1 e^x^2 lies

what is the interval in which the integral from 0 to 1  
e^x^2 lies

Grade:12th pass

1 Answers

Amlan Kumar
39 Points
4 years ago
I have found an easy way to find the interval.
 
for the interval [0,1] the function e^x^2 always lies between e^x and  xe^x^2. 
so integrating the functions in the common interval 0 to 1
we obtain that it lies in the open interval  ((e-1)/2,(e-1).
 
i hope that this solution is logically correct and the reader can understand it carefully.
 
-Amlan Kumar

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