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The proper substitution for int x (x ^(x...

The proper substitution for `int x (x ^(x )) ^(x) (2 log x +1 ) dx is (x ^(x)) ^(x) =1 `

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int x(x^(x))^(x)(2log x+1)dx=

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Knowledge Check

  • int x^x (1 + log x) dx =

    A
    `x^x`
    B
    `(x^x)/(log x)`
    C
    `x^x log x`
    D
    `x^x (x + 1)`

  • int x ^(x ^(2)+1) (2ln x+1)dx

    A
    `x ^(2x ) +C`
    B
    `x ^(2) ln x+C`
    C
    `x ^((x ^(x)))+C`
    D
    `(x ^(3))^(x) +C`

  • int x ^(x)((ln x )^(2) -1/x) dx is equal to:

    A
    `x ^(2) ((ln x)^(2) -1/x +C`
    B
    `x ^(x) (ln x-x) +C`
    C
    `x ^(x) ((ln x )^(2))/(2 )+C`
    D
    `x ^(x)ln x +C`

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    int_(1)^(2)x log x dx =

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