Definite IntegrationHard
Question
, where [ . ] denotes the greatest integer function, is equal to : Options
A.0
B.ln 2
C.e2
D.2e-1
Solution
I = 
∴ 2e-x decreases for x ∈ [0, ∞)
⇒ 0 < 2e-x ≤ 2∀ x ∈ [0, ∞)
for x > ln2, [2e-x] = 0
⇒ I =
=
= ln2
∴ 2e-x decreases for x ∈ [0, ∞)
⇒ 0 < 2e-x ≤ 2∀ x ∈ [0, ∞)
for x > ln2, [2e-x] = 0
⇒ I =
=
= ln2Create a free account to view solution
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