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The maximum value of cos (int(2x)^(x^(2)...

The maximum value of cos `(int_(2x)^(x^(2)) e^t sin^2 " t dt ")`

A

`1/2`

B

0

C

1

D

non -existent

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly , cos `(underset(2x)overset(x^2)int e^t sin^2 " t dt ")` will attin its maximum value 1 when
`underset(2x)overset(x^2)int e^t sin^2"t dt "=0 rArr x^2=2x rArr x =0 ,2`
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