STATEMENT-1 : If int(2^(x))/(sqrt(1-4^(...

STATEMENT-1 : If ` int(2^(x))/(sqrt(1-4^(x)))=ksin^(-1)(2^(x))`, then `k` equals `(1)/(log2)`. STATEMENT-2 : If `intf(x)dx=-f(x)+c`, then `f(log_(e)2)=(1)/(2)` STATEMENT-3 : `int(e^(x))/(sqrt(1+e^(x)))dx=-2sqrt(1+e^(2))+c`

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int(e^(x))/(sqrt(e^(2x)-1))dx=

`sin^(-1)(e^(x))+c`

`log(e^(x)-sqrt(e^(2x)-1))+c`

`log(e^(x)+sqrt(e^(2x)-1))+c`

`sec^(-1)(e^(x))+c`

`log2`

`log(sqrt2)`

`(1)/(2)`

`(1)/(log2)`

`log |e^(x)+sqrt(e^(2x)-1)|+C`

`log |e^(-x)+sqrt(e^(-2x)-1)|+C`

`-log |e^(-x)+sqrt(e^(-2x)-1)|+C`

None of these