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IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,b...

`IfA_n=int_0^(pi/2)(sin(2n-1)x)/(sinx)dx ,b_n=int_0^(pi/2)((sinn x)/(sinx))^2dxforn in N ,` Then `A_(n+1)=A_n` (b) `B_(n+1)=B_n` `A_(n+1)-A_n=B_(n+1)` (d) `B_(n+1)-B_n=A_(n+1)`

A

`A_(n+1)=-A_(n)`

B

`B_(n+1)=B_(n)`

C

`A_(n+1)-A_(n)=B_(n+1)`

D

`B_(n+1)-B_(n)=A_(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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