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(i) int 1/(xsqrt(x-1))dx (ii) int 1/((x+...

(i) `int 1/(xsqrt(x-1))dx` (ii) `int 1/((x+2)sqrt(x+3)) dx`

Text Solution

Verified by Experts

The correct Answer is:
`2 tan^-1` (ii) `log |sqrt(x+3)-1/sqrt(x+3)+1|+c`
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Knowledge Check

  • int (1)/(xsqrt(x))dx

    A
    `-(1/2)x^(-1//2) +c`
    B
    `-2x^(-1//2) +c`
    C
    `-1x^(-1//2) +c`
    D
    `-1/3.x^(-1//2) +c`

  • int1/(xsqrt((1+x^3)))dx =

    A
    `log""(sqrt(1+x^3)-1)/(sqrt(1+x^3)+1)`
    B
    `1/2log""(sqrt(1+x^3)-1)/(sqrt(1+x^3)+1)`
    C
    `1/3log""(sqrt(1+x^3)-1)/(sqrt(1+x^3)+1)`
    D
    none

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