Solve the Problem $10 ^ { - 3 }$ $$\int _ { 0 } ^ { 0.5 } \ln \left( x ^ { 2 } + 1 \right) d x$$

question 327

Multiple Choice

Solve the problem.
-Use series to estimate the integral's value to within an error of magnitude less than $10 ^ { - 3 }$ .
$$\int _ { 0 } ^ { 0.5 } \ln \left( x ^ { 2 } + 1 \right) d x$$

• A) 0.07649
• B) 0.2054
• C) 0.03225
• D) 0.03887

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Definitions:

Electron

Negative subatomic particle, moving about in an energy level around the nucleus of an atom.

Aerobic Respiration

The process of producing cellular energy involving oxygen by breaking down organic molecules.

Oxygen

A chemical element with symbol O and atomic number 8, essential for aerobic respiration in most living organisms.

Carbon Dioxide

An odorless, colorless gas resulting from the burning of carbon and organic molecules, and emitted during breathing, which is assimilated by plants for use in photosynthesis.