If \[\int_{0}^{{{t}^{2}}}{xf(x)dx=}\frac{2}{5}{{t}^{5}},\,\,t>0,\]then – McqOptions

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1.	If \[\int_{0}^{{{t}^{2}}}{xf(x)dx=}\frac{2}{5}{{t}^{5}},\,\,t>0,\]then\[f\left( \frac{4}{25} \right)=\] [IIT Screening 2004]
A.	\[\frac{2}{5}\]
B.	\[\frac{5}{2}\]
C.	\[-\frac{2}{5}\]
D.	None of these
Answer» B. \[\frac{5}{2}\]

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