ISI integral doubt

[Halflife]

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[eco'17]

you have to break the integral into 3 parts
1) 0 to 1
2) 1 to 2
3) at 2
for first part integral will be zero because greatest integer function will have zero value
for second part value of integral will f(2)-f(1)
and for the last part value will be 2^nf(2)

so summing the values in the three parts we get (1+2^n)f(2)-f(1)
thus the answer to this question is d
notice b is not the answer because it says (!+2^n)(f(2)-f(1)).......this is whole of the bracket, which is not the answer.

[Halflife]

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