Set, Relation and FunctionHard
Question
Area bounded by the curve f(x) =
- tan2[x], , (where [.] denotes greatest integer function) and the lines x =
to x =
and x-axis is
Options
A.
- 1
B.
C.
D.
- tan1
Solution
For
< x <
; [x] = 1.
f(x) =
- tan2 1
= sec21 - tan21 = 1
Area =
f(x) =
= sec21 - tan21 = 1
Area =
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
The set S = {1, 2, 3, ...., 12) is to be partitioned into three sets A, B, C of equal size. Thus, A∪B∪C = S,...The function f : [0, 3] → [1, 29], defined by f(x) = 2x3 - 15x2 + 36x + 1, is...Let S be a non-empty subset of R. Consider the following statement: P: There is a rational number x ∈ S such that ...Let R be a relation defined in the set of real numbers by a R b ⇔ 1 + ab > 0. Then R is-...The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -...