Explain integration as the limit if sum..
Answers
Answer:
Definite Integral as a Limit of a Sum. Imagine a curve above the x-axis. The function of this graph is a continuous function defined on a closed interval [a, b], where all the values of the function are non-negative.
Step-by-step explanation:
Definite integrals are used when the limits are defined, to generate a unique value. Indefinite integrals are implemented when the limits of the integrand are not specified. In case, the lower limit and upper limit of the independent variable of a function is specified, its integration is described using definite integrals. A definite integral is denoted as:
F(b) – F(a) = a∫b f(x) dx
where a is the lower limit and b is the upper limit.
f(x)is the integrand.
dx is the integrating agent.
The equation indicates the integral of f(x) with respect to x.
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Definite Integral as a Limit of a Sum. Imagine a curve above the x-axis. The function of this graph is a continuous function defined on a closed interval [a, b], where all the values of the function are non-negative.
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