JEE Math Practice Question
If [t] denotes the greatest integer $$\le \mathrm{t}$$, then the value of $${{3(e - 1)} \over e}\int\limits_1^2 {{x^2}{e^{[x] + [{x^3}]}}dx} $$ is :
- A.$$\mathrm{e^8-e}$$
- B.$$\mathrm{e^7-1}$$
- C.$$\mathrm{e^9-e}$$
- D.$$\mathrm{e^8-1}$$
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