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Let A (1)= int(n)^(n+1)(min{|x-n|,|x-(n+...

Let `A _(1)= int_(n)^(n+1)(min{|x-n|,|x-(n+1)|}) dx`,
`A_(2)=int_(n+1)^(n+2)(|x-n|-|x-(n+1)|)dx,`
`A_(3)=int_(n+2)^(n+3)(|x-(n+4)|-|x-(n+3)|) dx` and `g(x)=A_(1)+A_(2)+A_(3)`, then

A

`A_(1)+A_(2)+A_(3)=9`

B

`A_(1)+A_(2)+A_(3)=(9)/(4)`

C

`sum_(n=1)^(100) g(x) =(900)/(4)`

D

`sum_(n=1)^(100) g(x) =300`

Text Solution

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The correct Answer is:
B, C
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