Find the Definite Integral $$\int _ { 5 } ^ { 6 } \frac { \sqrt { x ^ { 2 } - 25 } } { x ^ { 2 } } d x$$

question 51

Multiple Choice

Find the definite integral. $$\int _ { 5 } ^ { 6 } \frac { \sqrt { x ^ { 2 } - 25 } } { x ^ { 2 } } d x$$

• A) \(\ln ( \sqrt { 11 } + 6 ) - \ln 5 - \frac { 1 } { 6 \sqrt { 11 } }\)
• B)\(\ln ( \sqrt { 11 } + 6 ) - \ln 5 + \frac { \sqrt { 11 } } { 6 }\)
• C) \(\ln ( \sqrt { 11 } + 6 ) + \ln 5 - \frac { 1 } { 6 \sqrt { 11 } }\)
• D)\(\ln ( \sqrt { 11 } + 6 ) - \ln 5 - \frac { \sqrt { 11 } } { 6 }\)
• E)\(\ln ( \sqrt { 11 } + 6 ) - \frac { \sqrt { 11 } } { 6 }\)

---

Definitions:

Telemetry Unit

A hospital section dedicated to the monitoring of patients' vital signs and cardiac status remotely using specialized technology.

Digoxin

A medication primarily used to treat heart conditions, including atrial fibrillation and heart failure.

Apical

Pertaining to the apex or pointed end of a structure, often used to describe the location of a heart pulse point at the left side of the chest.

Hypertension

A chronic medical condition where the blood pressure in the arteries is persistently high, increasing the risk of heart, brain, kidney, and other diseases.