Evaluate int (dx)/(x+xlogx)...

Evaluate `int (dx)/(x+xlogx)`

Text Solution

Verified by Experts

The correct Answer is:

` log|1+logx|+C`

`int (dx)/(x+xlogx)=int((1)/(x)dx)/((1+logx))`
`=int((1+logx)'dx)/((1+logx))`
` = log|1+logx|+C`

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Knowledge Check

int(dx)/(xlogx) :

A

`(logx)/(x)+c`

B

`(x)/(logx)+c`

C

`((logx)^(2))/(2)+c`

D

`log(logx)+c`

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CENGAGE-INDEFINITE INTEGRATION-Exercise 7.3

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