`int (2x+1)(sqrt(x^(2)+x+1))dx`A. `(3)/(2)(x^(2)+x+1)^((3)/(2))+C`B. `(2)/(3)(x^(2)+x+1)^((3)/(2))+C`C. `(3)/(2)(2x+1)^(3//2)+C`D. none of these

`int (2x+1)(sqrt(x^(2)+x+1))dx`A. `(3)/(2)(x^(2)+x+1)^((3)/(2))+C`B. `

1.	`int (2x+1)(sqrt(x^(2)+x+1))dx`A. `(3)/(2)(x^(2)+x+1)^((3)/(2))+C`B. `(2)/(3)(x^(2)+x+1)^((3)/(2))+C`C. `(3)/(2)(2x+1)^(3//2)+C`D. none of these
Answer» Correct Answer - B Put `x^(2)+x+1=t and(2x+1)dx=dt`. , `I=intsqrt(t)dt=(t^((3)/(2)))/(((3)/(2)))+C=(2)/(3)(x^(2)+x+1)^((3)/(2))+C`.