int sqrt(9 -4x^(2)) dx...

`int sqrt(9 -4x^(2)) dx`

Verified by Experts

The correct Answer is:

`(x)/(2)sqrt(9-4x^(2)) +.(9)/(4) sin^(-1) ((2x)/(3)) +c`

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int sqrt(1-9x^(2))dx=?

`(x)/(2)sqrt(1-9x^(2))+(1)/(18)sin^(-1)3x+C`

`(3x)/(2)sqrt(1-9x^(2))+(1)/(6)sin^(-1)3x+C`

`(x)/(2)sqrt(1-9x^(2))+(1)/(6)sin^(-1)3x+C`

None of these

`(x)/(2)sqrt(9x^(2)+16)+(8)/(3)log|3x+sqrt(9x^(2)+16)|+C`

`(x)/(2)sqrt(9x^(2)+16)-(8)/(3)log|3x+sqrt(9x^(2)+16)|+C`

`xsqrt(9x^(2)+16)+24log|3x+sqrt(9x^(2)+16)|+C`

None of these