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in Integrals calculus by (36.9k points)

Let f(x) = x – [x], for every real number x, where [x] is the integral part of x, then ∫f(x) dx for x ∈ [-1,1] is 

(a) 1 

(b) 2 

(c) 0 

(d) 1/2

1 Answer

+1 vote
by (38.6k points)
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Best answer

Correct option is (a) 1

Given,

= [0 – (– 1)] = 1 

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