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Evalute the following integrals int sq...

Evalute the following integrals
`int sqrt(1 + 3x - x^(2))` dx

A

`(2x - 3)/(4) sqrt(1 + 3x -x^(2)) + (13)/(8) sin^(-1) ((2x - 3)/(sqrt(13))) + c`

B

`(2x - 3)/(4) sqrt(1 + 3x - x^(2)) -(13)/(8) sin^(-1) ((2x - 3)/(sqrt(13))) + c`

C

`(2x + 3)/(4) sqrt(1 + 3x - x^(2)) -(13)/(8) sin^(-1) ((2x - 3)/(sqrt(13))) + c`

D

`(2x + 3)/(4) sqrt(1 + 3x - x^(2)) + (13)/(8) sin^(-1) ((2x - 3)/(sqrt(13))) + c`

Text Solution

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The correct Answer is:
A
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