Question
Thu April 07, 2011 By: Rohit Varshney
 

consider the function ,F(x)=integration of [t^2-t]dt where upper limit of integration is x and lower limit of integration is -1 ,x belongs to R, (a)FIND THE x and y intercept of F if they exist. (b)Derivatives F'(x) and F''(x). (C)The intervals on which F is an increasing and the intervals on which F is decreasing. (d)relative maximum and minimum points. (e) any inflection point.

Expert Reply
Mon April 11, 2011
Since
(a) If x = 0 then y = F(x) = 5, thefore y-intercept is 5.
If y = F(0) = 0 then
              
therefore x-intercept is -1.
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