\( \int_{0}^{x} \frac{2^{t}}{2^{[t]}} d t \), where [.] denotes the greatest integer function, a...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 12:04
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\( \int_{0}^{x} \frac{2^{t}}{2^{[t]}} d t \), where [.] denotes the greatest integer function, and \( x \in R^{+} \), is
P equal to

W
(A) \( \frac{1}{\ln 2}\left([x]+2^{\{x\}}-1\right) \)
(B) \( \frac{1}{\ln 2}\left([x]+2^{\{x\}}\right) \)
(C) \( \frac{1}{\ln 2}\left([x]-2^{\{x\}}\right) \)
(D) \( \frac{1}{\ln 2}\left([x]+2^{\{x\}}+1\right) \)
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