Englishfor English speakers
area
Noun
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An area is a piece of land or space.
This is the business area of town.
We have chosen a large forest area for the new park.
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An area of study is a special subject, such as mathematics, grammar, music, or biology.
Economics is quite interesting, but my area is more related to politics.
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The area of a surface, is the size of the surface.
The length is 10 cm and the width is 5 cm, so the area is 50 mathcm^2/math.
integral
Adjective
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Integral parts, elements, etc. belong to a larger whole, often being necessary.
The parks and green spaces are an integral part of the city.
Regular training is regarded as integral to management.
Integral to this research was how the healthy body defends against bacteria.
integral
Noun
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An integral is the result of a particular mathematical function.
mathF(x)/math is the integral of mathf(x)/math if math\frac{d[F(x)]}{dx} = f(x)/math .