The correct option is C 1 ∫_ 1^1[x]dx ∫_ 1^0( 1)dx nbsp; + nbsp; ∫_0^10 nbsp; dx ( 1)[0 ( 1)]= 1 ...

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Existence of Limit

∫-11[x] dx=

Question

$\int_{- 1}^{1} [x] d x =$

-1

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Solution

The correct option is C -1
$\int_{- 1}^{1} [x] d x$
$\int_{- 1}^{0} (- 1) d x + \int_{0}^{1} 0 d x$
$(- 1) [0 - (- 1)] = - 1$

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