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What is the value of int(dx)/sqrt(2ax-x^...

What is the value of `int(dx)/sqrt(2ax-x^2)?`

A

`(1//a) sin^-1((x-a)//a)+C`

B

`sin^(-1)[(x-a)//a]+C`

C

`log|(x-a)+sqrt(2ax-x^2|)+C`

D

`(1//a) log|(x-a)+sqrt(2ax-x^2)|+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • int(dx)/(xsqrt(2ax-x^2))=

    A
    `asqrt((2a-x)/(x))+c`
    B
    `(1)/(a)sqrt((2a-x)/(x))+c`
    C
    `-asqrt((2a-x)/(x))+c`
    D
    `(-1)/(a)sqrt((2a-x)/(x))+c`

  • The value of int (dx)/(sqrt (a-x))

    A
    `2 sqrt ( a- x ) + c`
    B
    `-2 sqrt (a- x ) + c`
    C
    `sqrtx + c`
    D
    `x +c`

  • The value of int(2dx)/sqrt(1-4x^(2)) is

    A
    `tan^(-1)(2x)+c`
    B
    `cos^(-1)(2x)+c`
    C
    `cot^(-1)(2x)+c`
    D
    `sin^(-1)(2x)+c`

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