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Let $f (x) = {x}$ the fractional part of $x$ then
$\int_{- 1}^{1} f (x) d x$ is equal to

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Correct option is A

f(x)=x−[x] so ∫−11 f(x)dx=∫−10 (x+1)dx+∫01 xdx=0−12−1+12=1

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Let f(x)={x} the fractional part of x then ∫−11 f(x)dx is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Let $f (x) = {x}$ the fractional part of $x$ then
$\int_{- 1}^{1} f (x) d x$ is equal to