Find the Value of the Integral $\int _ { 0 } ^ { x / 8 } \sin ^ { 2 } ( 4 x ) d x$

question 124

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { x / 8 } \sin ^ { 2 } ( 4 x ) d x$

• A)1
• B) \(\frac { \pi } { 16 }\)
• C) \(\frac { \pi } { 3 }\)
• D)2
• E) \(\frac { \pi } { 32 }\)
• F) \(\frac { \pi } { 8 }\)
• G) \(\frac { \pi } { 6 }\)
• H) \(\frac { 1 } { 6 }\)

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Definitions:

Hertz

A unit of frequency in the International System of Units (SI) that measures the number of cycles per second of a periodic phenomenon.

Frequency

The rate at which a periodic event occurs, such as the number of complete cycles per second in a wave or the number of times a behavior is observed in a given period.

Taste Buds

Sensory organs located on the tongue that allow taste perception through the detection of chemical molecules from food.

Papillae

Small, nipple-like structures on the tongue where taste buds are located, responsible for the sense of taste.