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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫0[x]2x2[x]dx\int\limits_{0}^{[x]} \frac{2^x}{2^{[x]}} d x, is
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Correct option: B
[x]log⁡2\frac{[x]}{\log 2}
Option B ([x]log⁡2\frac{[x]}{\log 2}) is correct because the integral simplifies to this expression using the properties of periodic functions and the greatest integer function.

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