$\text { Use a power series to approximate the value of the integral } \int _ { 0.42 } ^ { 0.59 } \sqrt { 1 + x ^ { 3 } } d x \text { with an }$

question 131

Multiple Choice

$\text { Use a power series to approximate the value of the integral } \int _ { 0.42 } ^ { 0.59 } \sqrt { 1 + x ^ { 3 } } d x \text { with an }$ error less than 0.001. Round your answer to four decimal places.

• A)0.1925
• B)0.1700
• C)0.1813
• D)0.1933
• E)0.1817

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Definitions:

Aortic Valve

One of the four heart valves that controls blood flow from the heart into the aorta, the body's main artery.

Mitral Valve

A valve in the heart that lies between the left atrium and left ventricle, ensuring unidirectional blood flow through the heart.

Chest Tube

is a medical device inserted into the pleural space to remove air, fluids, or pus, often used in treating conditions like pneumothorax or pleural effusion.

Bubbling

The production of bubbles in a liquid caused by processes such as boiling, fermentation, or chemical reactions.