Find the Value of the Integral $\int _ { 0 } ^ { \pi / 4 } \sin ^ { 2 } ( 2 x ) \cos ^ { 2 } ( 2 x ) d x$

question 110

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { \pi / 4 } \sin ^ { 2 } ( 2 x ) \cos ^ { 2 } ( 2 x ) d x$

• A)1
• B) \(\frac { \pi } { 16 }\)
• C) \(\frac { \pi } { 4 }\)
• D)2
• E) \(\frac { \pi } { 32 }\)
• F) \(\frac { \pi } { 8 }\)
• G) \(\frac { \pi } { 64 }\)
• H) \(\frac { 1 } { 6 }\)

---

Definitions:

Genetic Information

Data about an individual's genes and chromosomal setup, including traits inherited from parents.

Nucleus

An organelle found in eukaryotic cells responsible for containing most of the cell's genetic material.

DNA Fingerprinting

A technique used to identify individuals by analyzing characteristics of their DNA, often used in forensic science.

Sex Chromosomes

Chromosomes that determine the biological sex of an organism, in humans typically represented as XX for females and XY for males.