If \( \int \frac{2^{x}}{\sqrt{1-4^{x}}} d x=k \sin ^{-1}\left(2^{x}\right)+C \), then what is th...

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If \( \int \frac{2^{x}}{\sqrt{1-4^{x}}} d x=k \sin ^{-1}\left(2^{x}\right)+C \), then what is the value of \( k \) ?
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