1.

Let [x] denote the largest interger not exceeding x and {x}=x-[x]. Then int_(0)^(2012) e^(cos (pi{x}))/(e^(cos (pi{x}))+e^(-cos(pi{x})))dx is equal to -

Answer»

0
1006
2012
`2012 PI`

SOLUTION :`I=2012 underset(0)overset(1)(int) E^(cos pi x)/(e^(cos pi x)+e^(-cos pi x))dx`
using king PROPERTY `I =2012 underset(0)overset(1)(int) e^(-cos pi x)/(e^(-cos pi x)+e^(cos pi x))dx rArr 2I=2012 rArr I=1006`


Discussion

No Comment Found

Related InterviewSolutions