1.

फलनों का x के सापेक्ष समाकलन कीजिए - `(x+2)/(sqrt((4x-x^(2))))`

Answer» Correct Answer - `-sqrt(4x-x^(2))+4sin^(-1)((x-2)/(2))`
`(x+2)/(sqrt(4x-x^(2)))=-(1)/(2).(-2x-4)/(sqrt(4x-x^(2)))`
`=-(1)/(2).((-2x-4)+4-4)/(sqrt(4x-x^(2)))=(1)/(2).((-2x-4)-8)/(sqrt(4x-x^(2)))`
`=-(1)/(2).((-2x-4))/(sqrt(4x-x^(2)))+(4)/(sqrt(4x-x^(2)))`
`4x-x^(2)=2^(2)-(x-2)^(2)`


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