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"I f"I1=int(-100)^(101)(dx)/((5+2x-2x^2)...

`"I f"I_1=int_(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x)))` `"and"I_2=int_(-100)^(101)(dx)/(5+2x-2x^2),t h e n(I_1)/(I_2)"i s"` (a)2 (b) `1/2` (c) 1 (d) `-1/2`

A

`2`

B

`1/2`

C

`1`

D

`-1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(1)=int_(-100)^(101)(dx)/((52x-2x^(2))(1+e^(2-4x)))`
`=int_(-100)^(101)(dx)/((5+2(1-x)-2(1-x)^(2)(1+e^(2-4(1-x))))`
or `2I_(1)=int_(-100)^(101)(dx)/(5+2x-2x^(2))=I_(2)`
or `(I_(1))/(I_(2))=1/2`
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