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If \([\mathrm{x}]\) denotes the greatest integer \(\leq 1\), then the value of \(\frac{3(e-1)}{e}{\int }_{1}^{2}{x}^{2}{…

Q1

If \([\mathrm{x}]\) denotes the greatest integer \(\leq 1\), then the value of \(\frac{3(e-1)}{e}{\int }_{1}^{2}{x}^{2}{e}^{[x]+\left[{x}^{3}\right]}dx\) is:

a

\(e^9-e\)

b

\(e^8-e\)

c

\(e^7-1\)

d

\(e^8-1\)

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