Re: Integration

Posted by Amit Goyal on Apr 18, 2014; 2:00am
URL: http://discussion-forum.276.s1.nabble.com/Integration-tp7587259p7587275.html

Using
0 <= x^4 (cos x) <= x^4  for all x in (0, 1)
If we integrate the respective expressions in above
inequality over the range (0, 1), the inequality will be
maintained. So integral of 0 from 0 to 1 gives us 0.
And integral of x^4 from 0 to 1 gives us 0.2. Thus, the
desired integral lies between 0 and 0.2.