x के सापेक्ष समाकलन कीजिए `:`
`(1)/(sqrt(8+3x-x^(2)))`

Explanation

`int(1)/(sqrt(8+3x-x^(2)))dx`
`=int(1)/(sqrt(8-(x^(2)-3x+(9)/(4))+(9)/(4)))dx`
`=int(1)/(sqrt((sqrt(42))/(2))^(2)-(x-(3)/(2))^(2))dx`
`=sin^(-1)(x-(3)/(2))/(sqrt(41)//2)+c`
`=sin^(-1).(2x-3)/(sqrt(41))+c`