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If int (dx)/(x^(2)+a^(2))=k cot^(-1) ""(...

If `int (dx)/(x^(2)+a^(2))=k cot^(-1) ""(x)/(a)+c` then the value of k is-

A

a

B

`-a`

C

`(1)/(a)`

D

`-(1)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If int (dx)/(sqrt(a^(2)-x^(2)))=k cos^(-1)""(x)/(a)+c then the value of k is-

    A
    1
    B
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    B
    `(1)/(2a)`
    C
    `2a`
    D
    none of these

  • If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c , then the value of k is-

    A
    `a^(2)`
    B
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    C
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    D
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