1.

सिद्ध कीजिए कि (i) `int(3x+1)/(sqrt(5-2x-x^(2)))dx=-3sqrt(5-2x-x^(2))-2sin^(-1)((x+1)/(sqrt6))+c`

Answer» (i) `int(3x+1)/(sqrt(5-2x-x^(2)))dx`
`=-(3)/(2)int((-2x))/(sqrt(5-2x-x^(2)))dx+int(1)/(sqrt(5-2x-x^(2)))dx`
`=-(3)/(2)int((-2x-2))/(sqrt(5-2x-x^(2)))dx-int(2)/(sqrt(5-2x-x^(2)))dx`


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