MathematicsMedium175×since 2002Q2665The sum of absolute maximum and absolute minimum values of the function f(x)=∣2x2+3x−2∣+sinxcosxf(x) = |2{x^2} + 3x - 2| + \sin x\cos xf(x)=∣2x2+3x−2∣+sinxcosx in the interval [0, 1] is :A3+sin(1)cos2(12)23 + {{\sin (1){{\cos }^2}\left( {{1 \over 2}} \right)} \over 2}3+2sin(1)cos2(21)B3+12(1+2cos(1))sin(1)3 + {1 \over 2}(1 + 2\cos (1))\sin (1)3+21(1+2cos(1))sin(1)C5+12(sin(1)+sin(2))5 + {1 \over 2}(\sin (1) + \sin (2))5+21(sin(1)+sin(2))D2+sin(12)cos(12)2 + \sin \left( {{1 \over 2}} \right)\cos \left( {{1 \over 2}} \right)2+sin(21)cos(21)Check answerSkip