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Suppose the function gn(x)=x^(2n+1)+an x...

Suppose the function `g_n(x)=x^(2n+1)+a_n x+b_n(N in N)` satisfes the equation `int_-1^1 (px + q)g_n(x)dx=0` for all linear functions `(px+q)` then

A

`a_(n)=b_(n)=0`

B

`b_(n)=0,a_(n)=-(3)/(2n+3)`

C

`a_(n)=0,b_(n)=-(3)/(2n+3)`

D

`a_(n)=(3)/(2n+3),b_(n)=-(3)/(2n+3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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