Question:

Determine whether the improper integral diverges or converges. ∞ ∫ x^2(e^-x)dx 0 a) converges b) diverges Evaluate the integral if it converges.

Determine whether the improper integral diverges or converges.
                   ∞
                  ∫  x^2(e^-x)dx
                 0
a) converges
b) diverges
Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

Determine whether the improper integral diverges or converges. ∞ ∫ x^2(e^-x)dx 0 a) converges b) diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

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