Find the Limit $$\lim _ { h \rightarrow 0 } \frac { 1 } { h } \int _ { 2 } ^ { 2 + h } \sqrt { 1 + t ^ { 3 } } d t$$

question 58

Short Answer

Find the limit.
$$\lim _ { h \rightarrow 0 } \frac { 1 } { h } \int _ { 2 } ^ { 2 + h } \sqrt { 1 + t ^ { 3 } } d t$$

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Definitions:

Clot

A thick mass of coagulated blood or other material formed in a liquid, as in a wound or within a blood vessel.

Fibrinogen

A soluble plasma protein that is transformed into fibrin during blood clotting, playing a critical role in wound healing.

Clotting

is the process by which blood changes from a liquid to a gel, forming a clot, and is crucial in preventing excessive bleeding when the vascular system is injured.

Plasma Protein

Proteins found in blood plasma, including albumin and globulins, which play roles in clotting, immunity, and transport.