JEE MAIN - Mathematics Bengali (2022 - 24th June Morning Shift - No. 9)
$$\left[ {0,1} \right]$$ অন্তরালে $$f\left( x \right) = |2{x^2} + 3x - 2| + {\mathop{\rm sinx}\nolimits} \,{\mathop{\rm cosx}\nolimits} $$ এর পরম গরিষ্ঠ ও পরম লঘিষ্ঠ মানের যোগফল হল :
$$3 + {{\sin \left( 1 \right){{\cos }^2}\left( {{1 \over 2}} \right)} \over 2}$$
$$3 + {1 \over 2}\left( {1 + 2\cos \left( 1 \right)} \right)\sin \left( 1 \right)$$
$$5 + {1 \over 2}\left( {\sin \left( 1 \right) + \sin \left( 2 \right)} \right)$$
$$2 + \sin \left( {{1 \over 2}} \right)\cos \left( {{1 \over 2}} \right)$$
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