Note: You may need to assume the fact that lim Me-M = 0 for all n. M +00 Decide whether or not the given integral converges. +0 x2e dx The integral converges. The integral diverges. If the integral converges, compute its value. (If the integral diverges, enter DNE.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 30E
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Note: You may need to assume the fact that lim M"e-M = 0 for all n.
M+ +0
Decide whether or not the given integral converges.
x²e-4x dx
The integral converges.
The integral diverges.
If the integral converges, compute its value. (If the integral diverges, enter DNE.)
Transcribed Image Text:Note: You may need to assume the fact that lim M"e-M = 0 for all n. M+ +0 Decide whether or not the given integral converges. x²e-4x dx The integral converges. The integral diverges. If the integral converges, compute its value. (If the integral diverges, enter DNE.)
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