The integral 1 1. dx diverges. x² - 4x+4 If the integral is a number, enter the value in the blank below. If the integral diverges, enter DNE. 6.0 1 4x + 4 dx = DNE

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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solve and explain why answer is DNE

The image contains a mathematical integral problem. The integral in question is:

\[
\int_{0}^{\infty} \frac{1}{x^2 - 4x + 4} \, dx
\]

The instruction provided states: "If the integral is a number, enter the value in the blank below. If the integral diverges, enter DNE."

For this integral, the answer is indicated as "diverges," marked with a checkmark. Below this, another section repeats the integral with an answer filled as "DNE," also checked with a checkmark.

There are no graphs or diagrams in the image.
Transcribed Image Text:The image contains a mathematical integral problem. The integral in question is: \[ \int_{0}^{\infty} \frac{1}{x^2 - 4x + 4} \, dx \] The instruction provided states: "If the integral is a number, enter the value in the blank below. If the integral diverges, enter DNE." For this integral, the answer is indicated as "diverges," marked with a checkmark. Below this, another section repeats the integral with an answer filled as "DNE," also checked with a checkmark. There are no graphs or diagrams in the image.
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