MathematicsHard210×since 2002Q3447If [t][t][t] denotes the greatest integer ≤t\leq t≤t, then the value of ∫01[2x−∣3x2−5x+2∣+1]dx\int_{0}^{1}\left[2 x-\left|3 x^{2}-5 x+2\right|+1\right] \mathrm{d} x∫01[2x−3x2−5x+2+1]dx is :A37+13−46\frac{\sqrt{37}+\sqrt{13}-4}{6}637+13−4B37−13−46\frac{\sqrt{37}-\sqrt{13}-4}{6}637−13−4C−37−13+46\frac{-\sqrt{37}-\sqrt{13}+4}{6}6−37−13+4D−37+13+46\frac{-\sqrt{37}+\sqrt{13}+4}{6}6−37+13+4Check answerSkip