Question

Pls help...

given, 4< f(1)<48 and f(1/2)=0
How we find the range of
Integration from 1/2 to 1 of f(x).

Answer 1

Is it given that f(x) is increasing and continuous over [1/2, 1] ?

Answer 2

Yes, increasing

Answer 3

how about continuity ?

Answer 4

Continues

Answer 5

is the answer 2<integral<24 ?
@Pawanyadav

Answer 6

I don't want answer ,how I do this..

Answer 7

Then we may guess the range by interpreting the definite integral as area under the curve

@mayankdevnani lower bound can be 0 right ?

Answer 8

I mean, the area can never be 0 since f(x) is increasing. But it can be made infinitesimally small as shown :