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intsqrt((logx)^2+3(logx)+1)/(x)dx=...

`intsqrt((logx)^2+3(logx)+1)/(x)dx=`

A

`(2logx+3)/(4)sqrt((logx)^2+3(logx)+1)-(5)/(4)log|logx+(3)/(2)+sqrt((logx)^2+3(logx)+1)|+c`

B

`(2logx+3)/(4)sqrt((logx)^2+3(logx)+1)-(5)/(8)log|logx+(3)/(2)+sqrt((logx)^2+3(logx)+1)|+c`

C

`(2logx+3)/(4)sqrt((logx)^2+3(logx)+1)+(5)/(4)log|logx+(3)/(2)+sqrt((logx)^2+3(logx)+1)|+c`

D

`(2logx+3)/(4)sqrt((logx)^2+3(logx)+1)+(5)/(8)log|logx+(3)/(2)+sqrt((logx)^2+3(logx)+1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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