JEE Main 20268 Apr, Evening shiftMathematicsEasyIntegral Calculus369× since 2002The value of the integral ∫02x(x2+x+1)(x+1)(x4+x2+1) dx\int_0^2\frac{\sqrt{x(x^2+x+1)}}{(\sqrt{x+1})(\sqrt{x^4+x^2+1})}\,dx∫02(x+1)(x4+x2+1)x(x2+x+1)dx is equal to :AOption A. 13loge(3−22)\frac{1}{3}\log_e(3-2\sqrt2)31loge(3−22)BOption B. 23loge(4+2)\frac{2}{3}\log_e(4+\sqrt2)32loge(4+2)COption C. 23loge(3+22)\frac{2}{3}\log_e(3+2\sqrt2)32loge(3+22)DOption D. 13loge(1+62)\frac{1}{3}\log_e(1+6\sqrt2)31loge(1+62)CheckSkip · show solution
