Engineering Board Exam Reviewer · Definite Integrals · medium

Evaluate: 0∞x3e-2x,dx

1. 3/4
2. 3/16
3. 1/8
4. 3/8

Answer

D. 3/8

Solution

Use 0∞ xne-axdx= n!an+1: 3!/24=6/16= 38.

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