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int' (e^(x))/(x) (x log x+1) dx can be o...

`int' (e^(x))/(x) (x log x+1) dx` can be obtained by the substitution-

A

`x log x =z`

B

` e^(x) log x=z`

C

`(1)/(x)=z`

D

`(e^(x))/(x)=z`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • int x(x^x)^x (2 log x + 1) dx =

    A
    `(x^x)^x` + c
    B
    `log(x)^x` + c
    C
    `x^x` + c
    D
    None of these

  • The integral of the from int sin ^(m) x cos^(n) x dx can be evaluated by the substitution tan x = z if -

    A
    (m +n ) is a negative integer
    B
    (m + n ) is a negative even integer
    C
    (m + n) is a negative integer
    D
    (m + n) is a positive even integer

  • Statement-I: Integral of the form int (x^(2)+1)/(x^(4)+1)dx can be evaluated by substituting x-(1)/(x)=z . Statement II: Integral of the form int (x^(2)-1)/(x^(4)+1)dx can be evaluated by substituting x+(1)/(x)=z .

    A
    Statement-I is True, Statement-II is True, Statement-II is a correct explanation for Statement-I
    B
    Statement-I is True, Statement-II is True, Statement-II is not a correct explanation for Statement-I
    C
    Statement-I is True, Statement-II is False.
    D
    Statement-I is False, Statement-II is True.

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