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Integrate the functions1/(sqrt(8+3x-x^2)...

Integrate the functions`1/(sqrt(8+3x-x^2))`

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` int(1)/(sqrt(8+3x-x^(2)))dx`
`=int(1)/(sqrt(8-(x^(2)-3x+(9)/(4))+(9)/(4)))dx`
`=int (1)/(sqrt((sqrt(41)/(2))^(2) -(x-(3)/(2))^(2)))dx`
`=sin^(-1) ((x-(3)/(2))/(sqrt(41)//2)) + c`
`=sin^(-1) ((2x-3)/(sqrt(41)))+c`
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