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If int 1/sqrt(9-16x^(2)) dx = a sin^(-1)...

If `int 1/sqrt(9-16x^(2)) dx = a sin^(-1) (bx) +c`, then 4a+3b=

A

`-12`

B

5

C

`-17`

D

25

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then alpha +(1)/(beta )=

    A
    `1`
    B
    `(7)/(12)`
    C
    `(19)/(12)`
    D
    `(9)/(12)`

  • If int(1)/(sqrt(9-16x^(2)))dx=alphasin^(-1)(betax)+c , then alpha+(1)/(beta)=

    A
    1
    B
    `(7)/(12)`
    C
    `(19)/(12)`
    D
    `(9)/(12)`

  • int sqrt(9x^(2)+16)dx=?

    A
    `(x)/(2)sqrt(9x^(2)+16)+(8)/(3)log|3x+sqrt(9x^(2)+16)|+C`
    B
    `(x)/(2)sqrt(9x^(2)+16)-(8)/(3)log|3x+sqrt(9x^(2)+16)|+C`
    C
    `xsqrt(9x^(2)+16)+24log|3x+sqrt(9x^(2)+16)|+C`
    D
    None of these

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    If int (2^(x))/(sqrt(1-4^(x))) dx = k sin ^(-1) (f(x)) + C then :

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