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Statement I int0^1 2^x x^2dx=2/(ln2)-4/...

Statement I `int_0^1 2^x x^2dx=2/(ln2)-4/((ln2)^2)+2/((ln2)^3)` Statement II `int_0^1 e^x(x-1)^n dx =16-6e`, then the value of n is 3.

Answer

Step by step text solution for Statement I int_0^1 2^x x^2dx=2/(ln2)-4/((ln2)^2)+2/((ln2)^3) Statement II int_0^1 e^x(x-1)^n dx =16-6e, then the value of n is 3. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • If int_(ln2)^(x) (e^(x) - 1)^(-1) dx = ln'3/2 then what is the value of x ?

    A
    `e^(2)`
    B
    `1/e`
    C
    `ln 4`
    D
    `1`

  • int_(ln 2)^x (e^x-1)^(-1) dx=In 3/2 then what is the value of x?

    A
    `e^2`
    B
    `1/e`
    C
    `ln 4`
    D
    `(-1)/e`

  • If int_(ln 2)^(x) (e^(x)-1)^(-1)dx= ln (3/2) then x=

    A
    `ln 4`
    B
    1
    C
    `e^(2)`
    D
    `1/e`

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