Use a Table of Integrals to Evaluate the Integral $$\int \frac { \sqrt { 6 x + 5 } } { x ^ { 2 } } d x$$

question 16

Multiple Choice

Use a table of integrals to evaluate the integral. $$\int \frac { \sqrt { 6 x + 5 } } { x ^ { 2 } } d x$$

• A) \(- \frac { \sqrt { 6 x + 5 } } { x } + \frac { 3 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• B) \(- \frac { \sqrt { 6 x + 5 } } { x } + \frac { 6 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• C) \(- \frac { 6 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)
• D) \(- \frac { 3 \sqrt { 5 } } { 5 } \ln \left| \frac { \sqrt { 6 x + 5 } - \sqrt { 5 } } { \sqrt { 6 x + 5 } + \sqrt { 5 } } \right| + C\)

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Definitions:

Myosin

A type of protein found in muscle tissue as a thick filament that plays a key role in muscle contraction and movement.

Sarcolemma

Plasma membrane of a muscle fiber; also forms the tubules of the T system involved in muscular contraction.

Plasma Membrane

The lipid bilayer that surrounds a cell, regulating the passage of substances in and out of the cell.

Muscle Fiber

A single muscle cell, typically long and cylindrical, which contracts to produce movement.