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int(dx)/((a^(2)+x^(2))^(3//2)) is equal ...

`int(dx)/((a^(2)+x^(2))^(3//2))` is equal to

A

`(x)/((a^(2)+x^(2))^(1//2))+c`

B

`(x)/(a^(2)(a^(2)+x^(2))^(1//2))+c`

C

`(1)/(a^(2)(a^(2)+x^(2))^(1//2))+c`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • int(dx)/(x^(2)(1+x^(5))^(4//5)) is equal to

    A
    a)`-((1+x^(5))^(1//5))/(x)+C`
    B
    b) `((1+x^(5))^(1//5))/(5x)+C`
    C
    c) `-((1+x^(5))^(1//5))/(5x)+C`
    D
    d)`((1+x^(5))^(1//5))/(5x)+C`

  • The integral int(dx)/(x^(2)(x^(4)+1)^(3//4)) equals

    A
    `((x^(4)+1)/(x^(4)))^(1//4)+c`
    B
    `(x^(4)+1)^(1//4)+c`
    C
    `-(x^(4)+1)^(1//4)+c`
    D
    `-((x^(4)+1)/(x^(4)))^(1//4)+c`

  • If I=int(dx)/((2ax+x^(2))^(3//2)) , then I is equal to

    A
    a)`-(x+a)/(sqrt(2ax+x^(2)))+C`
    B
    b)`-1/a(x+a)/(sqrt(2ax+x^(2)))+C`
    C
    c)`-(1)/(a^(2))(x+a)/(sqrt(2ax+x^(2)))+C`
    D
    d)`-(1)/(a^(3))(x+a)/(sqrt(2ax+x^(3)))+C`

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