dse 2012 doubt

Posted by Sris on Jun 19, 2015; 7:22am
URL: http://discussion-forum.276.s1.nabble.com/dse-2012-doubt-tp7598103.html


integral  0 to 1 (x^n sin(x) dx)
(a) Does not exist
(b) Is necessarily greater than 1
(c) Is greater than 1/(n + 1)
(d) Is less than 1/(n + 1)

A rectangle has its lower left hand corner at the origin and
its upper right hand corner on the graph of f(x) = x^2+ (1/x^2). For which x
is the area of the rectangle minimized?
(a)  x = 0
(b)  x = infinity
(c)   x =(1/3)^1/4
d)    x=2^1/3

plz help...