`int(2^(x))/(sqrt(4^(x)-1))dx`

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Evaluate int(2^(x))/(sqrt(1-4^(x)))dx

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

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int(x^(2))/(sqrt(1-4x^(6)))dx=(1)/(6)sin^(-1){f(x)}+*Find f'(2)