Let f(x) > 0 for all real x. Then integral `int_a^b f(x) dx` is which of the following:
(A) is greater than zero if a > b.
(B) is always less or equal to zero.
(C) is always greater or equal than zero.
(D) is greater than zero when a < b .
1 Answer | Add Yours
It is given that f(x) > 0 for all real x.
`int_(a)^b f(x) dx`
=> `f(b) - f(a)`
Both of f(b) and f(a) are greater than 0, but it is not known whether f(b) = f(a)
If b > a, the integral` int_(a)^b f(x) dx` is greater than or equal to 0.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes