what is integration?

class 11

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Given a function f of a real variable x and an interval [a, b] of the real line, the definite integral
∫ a b f( x ) dx 
is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b. The area above the x-axis adds to the total and that below the x-axis subtracts from the total.

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