1.

The greatest value of the function \[F(x)=\int_{1}^{x}{\,\,|t|\,dt}\] on the interval \[\left[ -\frac{1}{2},\,\,\frac{1}{2} \right]\] is given by                                         [IIT Screening]

A. \[\frac{3}{8}\]
B. \[-\frac{1}{2}\]
C. \[-\frac{3}{8}\]
D. \[\frac{2}{5}\]
Answer» D. \[\frac{2}{5}\]


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