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If int (2^(x))/(sqrt(1-4^(x))) dx = k s...

If ` int (2^(x))/(sqrt(1-4^(x))) dx = k sin ^(-1) (f(x)) + C` then :

A

` k = log 2, f(x) = 2^(x)`

B

`k = (1)/(log 2) , f(x) = 2^(x)`

C

`k = log 2, f(x) = 4^(x)`

D

`k = (1)/(log2) , f(x) = 4^(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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