Evaluate the Integral $\int 2 x \sqrt { 4 x ^ { 2 } - 4 } d x$

question 32

Multiple Choice

Evaluate the integral. $\int 2 x \sqrt { 4 x ^ { 2 } - 4 } d x$

• A) \(\frac { \sqrt { \left( 4 x ^ { 2 } - 4 \right) } } { 2 } + C\)
• B) \(\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 4 } + C\)
• C) \(\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 6 } + C\)
• D) \(\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 2 } + C\)
• E) \(\frac { \left( 4 x ^ { 2 } - 4 \right) \sqrt { 4 x ^ { 2 } - 4 } } { 12 } + C\)

---

Definitions:

DNA Sequencing

DNA sequencing refers to the process of determining the exact sequence of nucleotides within a DNA molecule, revealing genetic information.

Length

A measurement that quantifies the longest dimension of an object, or the extent of something from end to end.

DNA Profiling

Identifying an individual by analyzing the unique parts of his or her DNA.

Human Genome

The complete set of nucleic acid sequences for humans, encoded as DNA within the 23 chromosome pairs in cell nuclei and in a small DNA molecule found within individual mitochondria.