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If I (1) = int (0) ^(1) e ^(-x) cos ^(2)...

If `I _(1) = int _(0) ^(1) e ^(-x) cos ^(2) x dx, I _(2) = int _(0) ^(1) e ^(-x ^(2)) cos ^(2) x dx and I _(3) = int _(0) ^(1) e ^(-x ^(3)) dx,` then

A

`I _(2) gt I _(3) gt I _(1)`

B

`I _(2) gt I _(1) gt I _(3)`

C

`I _(3) gt I _(2) gt I _(1)`

D

`I _(3) gt I _(1) gt I _(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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