The sum of absolute maximum and absolute minimum values of the function $f(x) = |2{x^2} + 3x - 2| + \sin x\cos x$ in the interval [0, 1] is :

Question

$3 + {{\sin (1){{\cos }^2}\left( {{1 \over 2}} \right)} \over 2}$

$3 + {1 \over 2}(1 + 2\cos (1))\sin (1)$

$5 + {1 \over 2}(\sin (1) + \sin (2))$

$2 + \sin \left( {{1 \over 2}} \right)\cos \left( {{1 \over 2}} \right)$

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