1.

If function f(x) is continuous in the interval (a, b) and having same definition between a and b, then we can find int _(a) ^(b) f (x) dx if f (x) is discontiuous and not same definition between a and b, then we must break the interval such that f(x) becomes continuous and having same definition in the breaking intervals. Now, if f (x) is discontinuous at x =c (a lt c lt b), then int _(a)^(b) f (x) dx = int _(a)^(c ) f (x) dx + int _(c ) ^(b) f (x) dx andalso if f (x) is discontinous at x =a in (0, 2a), then we can write int _(0) ^(2a) f(x) dx = int _(0) ^(a ) {f (a-x) + f(a+x) } dx On the basis of above information, answere the following questions : int _(-1)^(1) [|x|] d ((1)/(1+ e ^(-1//x))) (where [.] denotes the greatest integer functions ) is equal to

Answer»

`-3`
`-2`
`-1`
NONE of these

ANSWER :D


Discussion

No Comment Found

Related InterviewSolutions