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Let $[\cdot]$ denote the greatest integer function then the value of
$\int_{0}^{1 \cdot 5} x [x^{2}] d x$ is

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Correct option is C

Put x2=t, so that xdx=12dtI=12∫02⋅25 [t]dt=12∫01 [t]dt+∫12 [t]dt+∫22⋅25 [t]dt=120+∫12 dt+2∫22⋅25 dt=12[1+2×.25]=34

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Let · denote the greatest integer function then the value of∫01⋅5 xx2dx is

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Let $[\cdot]$ denote the greatest integer function then the value of
$\int_{0}^{1 \cdot 5} x [x^{2}] d x$ is