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Evaluate : int(dx)/((x-alpha)(beta-x))be...

Evaluate : `int(dx)/((x-alpha)(beta-x))beta gt alpha`

Text Solution

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The correct Answer is:
`2sin^(-1)sqrt((x-alpha)/(beta-alpha))+c`
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Knowledge Check

  • int dx/(sin(x-alpha)cos(x-beta)) =

    A
    `1/(cos(alpha-beta))[log sin(x-alpha)+log sec(x-beta)]`
    B
    `log sin (x-alpha)+log sec (x- beta)`
    C
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    D
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  • If alpha , beta and gamma are roots of the equations x^3+px+q=0 then the value of det : [(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)] is

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    q
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    `p^2-2q`
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    0

  • A nucleus with Z =92 emits the following in a sequence alpha, beta, alpha,alpha,alpha,alpha,alpha,beta^(-),beta^(-),alpha,beta^(+),beta^(+),alpha . The Z of the resulting nucleus is :

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