Question:
The value of the integral
\[
\int_0^0 9 [x - 2\lfloor x \rfloor] \, dx
\]
where \( [.] \) denotes the greatest integer function, is
The value of the integral
\[
\int_0^0 9 [x - 2\lfloor x \rfloor] \, dx
\]
where \( [.] \) denotes the greatest integer function, is
Show Hint
The greatest integer function takes the integer part of the argument. When dealing with integrals involving it, break the function into intervals where the function is constant.
Updated On: June 02, 2025
- 0.9
- 0
- 1.8
- -0.9
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The Correct Option is B
Solution and Explanation
The value of the integral is evaluated by considering the behavior of the greatest integer function and simplifying the expression over the given range.
The result is \( 0 \).
The result is \( 0 \).
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