Decide Whether the Integral Converges $\int _ { 0 } ^ { + \infty } x ^ { 2 } e ^ { - 10 x } \mathrm {~d} x$

question 9

Multiple Choice

Decide whether the integral converges. If the integral converges, compute its value. $\int _ { 0 } ^ { + \infty } x ^ { 2 } e ^ { - 10 x } \mathrm {~d} x$

• A) \(- \frac { 1 } { 500 }\)
• B) \(\frac { 1 } { 10 }\)
• C) \(\frac { 1 } { 500 }\)
• D) 0
• E) diverges