int(0)^(e^(2)){(1)/((logx))-(1)/((logx)^...

`int_(0)^(e^(2)){(1)/((logx))-(1)/((logx)^(2))}dx`

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Evaluate the following integrals: int{(1)/(logx)-(1)/((log)^(2))}dx

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Knowledge Check

int{(1)/((logx))-(1)/((logx)^(2))}dx=?

A

x log x+C

B

`(x)/(logx)+C`

C

`x+(1)/(logx)+C`

D

none of these

int[(1)/(logx)-(1)/((logx)^(2))]dx=

A

`(1)/(logx)+c`

B

`(x)/(logx)+c`

C

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

D

`logx+c`

int_(e)^(e^(2)) (1/logx-1/((logx)^(2)))dx=

A

`(e(e-1))/2`

B

`(-e(e-1))/2`

C

`(e(e-2))/2`

D

`(-e(e-2))/2`

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