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I=int(loge( logex))/(x(logex))dx is equa...

`I=int(log_e( log_ex))/(x(log_ex))dx` is equal to

Text Solution

Verified by Experts

The correct Answer is:
`((log_(e)(log_(e)x))^(2))/(2)+C`
`intlog_(e)(log_(e)x)*(1)/(x log_(e)x)dx`
`=int log_(e)(log_(e)x)*(log_(e)(log_(e)x))'dx`
`=((log_(e)(log_(e)x))^(2))/(2)+C`
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