Integrals are the values of the function found by the process of integration. The process of getting f(x) from f'(x) is called integration. Integrals assign numbers to functions in a way that describe displacement and motion problems, area and volume problems, and so on that arise by combining all the small data. Given the derivative f’ of the function f, we can determine the function f. Here, the function f is called antiderivative or integral of f’.
Example:
Given:
f(x) = x2 .
Derivative of f(x) = f'(x) = 2x = g(x)
if g(x) = 2x, then anti-derivative of g(x) = ∫ g(x) = x2
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