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If i is the greatest of the definite int...

If i is the greatest of the definite integrals `I_1=int_0^1 e^-x cos ^2 dx ,I_2=int_0^1 e^(-x^2) cos^2 x dx and I_3=int_0e^(-x^2)dx , I_4=int_0^1e^-(x^2/2)dx` then (A) `I_1` (B) `I_2` (C) `I_3` (D) `I_4`

A

`I_(3) gt I_(1) gt I_(2)`

B

`I_(2) gt I_(3) gt I_(1)`

C

`I_(2) gt I_(1) gt I_(3)`

D

`I_(3) gt I_(2) gt I_(1)`

Text Solution

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The correct Answer is:
D
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