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The value of function f (x) =1 +x+ int (...

The value of function `f (x) =1 +x+ int _(1) ^(x) (ln ^(2)t +2 ln t ) dt ` where `f '(x)` vanishes is:

A

`1/e`

B

0

C

`2/e`

D

`1+2/e`

Text Solution

Verified by Experts

The correct Answer is:
D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  14. Let I(n) = int (0)^(pi) (sin (n + (1)/(2))x )/(sin ((x)/(2)))dx where ...

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