​ The value of , integration {-1to 1}x^2e^[e63]dx where [t] denotes the greatest integer ≤ t, is : ​

Question

The value of \(\int\limits_{-1}^1x^2e^{[x^3]}dx\), where [t] denotes the greatest integer ≤ t, is :

(1) \(\frac{e-1}{3e}\)

(2) \(\frac{e+1}{3e}\)

(3) \(\frac{e+1}{3e}\)

(4) \(\frac 1{3e}\)

Answer 1

Correct option is (3) \(\frac{e+1}{3e}\)