1.

फलनों का x के सापेक्ष समाकलन कीजिए - `sqrt((5-4x-x^(2)))`

Answer» Correct Answer - `(1)/(2)[(x+2)sqrt((5-4x-x^(2)))+9sin^(-1)((x+2)/(3))]`
`int(2x+1)sqrt(x^(2)+2x+5)dx`
`=int[(2x+2)-1]sqrt(x^(2)+2x+5)dx`
`=int(2x+2)sqrt(x^(2)+2x+5)dx-intsqrt(x^(2)+2x+5)dx`
अब माना `x^(2)+2+5 = t rArr (2x+2)dx=dt`


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