Find the Area Bounded by the Curves $y=\cos x$ And $y=\cos ^{2} x$

question 71

Multiple Choice

Find the area bounded by the curves $y=\cos x$ and $y=\cos ^{2} x$ between $x=0$ and $x=\frac{\pi}{2}$ .

• A) \(\frac{1}{4}\)
• B) \(4\)
• C) \(\frac{\sqrt{2}}{2}\)
• D) \(\frac{1}{2}\)
• E) \(\text { none of these }\)

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Definitions:

Animals

Multicellular, eukaryotic organisms in the kingdom Animalia that are characterized by their ability to move voluntarily, consume organic materials, and have sensory and nervous systems.

Lophotrochozoa

A clade within the animal kingdom that includes organisms with a distinctive developmental stage or feeding structure, such as mollusks, annelids, and brachiopods.

Deuterostomes

A major group of animals characterized by their embryonic development, in which the anus forms before the mouth during early embryogenesis.

Embryos

Early developmental stages of multicellular organisms following fertilization, during which cells divide and specialize to form the structure and organs of the organism.