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Evaluate:int dx/(x^(2) sqrt (x + 1))...

Evaluate:`int dx/(x^(2) sqrt (x + 1))`

Text Solution

Verified by Experts

The correct Answer is:
`= 1/2 log | (sqrt (x + 1) +1)/(sqrt( x + 1) - 1)| - sqrt (x + 1)/x + k`
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Knowledge Check

  • int dx/((2+x)sqrt(1+x) =

    A
    `2 tan^-1 sqrt(1+x)` + c
    B
    `1/2 tan^-1 sqrt(1+x)` + c
    C
    `tan^-1 sqrt1+x` + c
    D
    `log{(2+x)sqrt1+x` + c

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