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

Answer

`(1)/(3)(x^(2)+x+1)^(3//2)-(3)/(2)[((2x+1)/(4))sqrt((x^(2)+x+1))+(3)/(8)log{(x+(1)/(2))+sqrt((x^(2)+x+1))}]`

Explanation

`int(x-1)sqrt(x^(2)+x+1).dx`
`=int[(1)/(2)(2x+1)-(3)/(2)]sqrt(x^(2)+x+1).dx`
`=(1)/(2)int(2x+1)sqrt(x^(2)+x+1).dx -(3)/(2)intsqrt(x^(2)+x+1).dx`