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Let f :   R   → R is a function defined as f x =   x - x : x   i s   o d d x - x + 1   : x   i s   e v e n , where [.] denotes the greatest integer function, then ∫ - 2 4 f x   d x is equal to

Correct answer

3

Step-by-step solution

We know that, x – [ x ] = x ⇒ x – [ x + 1 ] = x – 1 Hence, ∫ - 2 4 f x   d x = 6 . 1 2 1.1 = 3

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