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intsin^-1sqrt(x/(a+x))dx...

`intsin^-1sqrt(x/(a+x))dx`

A

`(a+x)arc tansqrt(x/2)- sqrt(ax)+C`

B

`(a+x)arc tansqrt(a/x)+sqrt(ax)+C`

C

`(a-x)arc tansqrt(x/a)tansqrt(x/a)-sqrt(ax)+C`

D

`(a+x)arc cotsqrt(x/a)-sqrt(ax)+C`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • If intsin^(-1)(sqrt(x)/sqrt(x+1))dx=A(x)tan^(-1)sqrt(x)+B(x)+C then A(x) and B(x) will be

    A
    `1+x,sqrt(x)`
    B
    `1-x,-sqrt(x)`
    C
    `1+x,-sqrt(x)`
    D
    `1-x,sqrt(x)`

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