1.

फलनों का x के सापेक्ष समाकलन कीजिए - `(2x+1)sqrt(x^(2)-x+1)`

Answer» Correct Answer - `(2)/(3)(x^(2)-x+1)^(3//2)+((2x-1)/(2))sqrt((x^(2)-x+1))+(3)/(4)log[(2x-1)/(2)+sqrt((x^(2)-x+1))]`
`int(2x+1)sqrt(x^(2)-x+1).dx`
`=int[(2x-1)+2]sqrt(x^(2)-x+1).dx`
`=int(2x-1)sqrt(x^(2)-x+1).dx+2 intsqrt(x^(2)-x+1).dx`


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