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 =

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