Evaluate the Integral or Show That It Is Divergent $\int_{-\infty}^{\infty} \frac{5 d x}{4 x^{2}+4 x+5}$

question 19

Multiple Choice

Evaluate the integral or show that it is divergent. $\int_{-\infty}^{\infty} \frac{5 d x}{4 x^{2}+4 x+5}$

• A) \(-\frac{\pi}{10}\)
• B) \(\frac{\pi}{5}\)
• C) \(\frac{\pi}{8}\)
• D) \(\frac{5}{4}\) \(\pi\)
• E) \(\text { divergent }\)

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Definitions:

Earth's Concentric Zones

Refers to the internal layers of the Earth, which include the crust, mantle, outer core, and inner core, arranged from surface to center.

Mantle

The thick layer of rock between the Earth's crust and core, playing a key role in tectonic movement and heat transfer.

Core

The innermost layer of the Earth, composed of an iron-nickel alloy and divided into a solid inner core and a liquid outer core.

Lithosphere

The rigid outer layer of the Earth, consisting of the crust and the upper mantle.