Definite IntegrationHard
Question
If In = 
; n ∈ N, then which of the following statements hold good?
; n ∈ N, then which of the following statements hold good?Options
A.2n In + 1 = 2-n + (2n - 1) In
B.I2 = 
C.I2 = 
D.I3 = 
Solution
In = 
= 
=
- 
=
=
=
+ 2n In - 2n In+1
∴ 2n In + 1 = 2-n + (2n - 1) In
∴ 2I2 =
+ I1 = 
+ 
dx is equal to :
= =
- =
=
=
+ 2n In - 2n In+1∴ 2n In + 1 = 2-n + (2n - 1) In
∴ 2I2 =
+ I1 = + dx is equal to : Create a free account to view solution
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