Integral

Integral

1. Assigns numbers to functions in a way that can describe displacement, area and volume.

2. 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.

3. If f is a continuous real-valued function defined on a closed interval [a, b], then, once an antiderivative F of f is known.

4. A rigorous mathematical definition of the integral was given by Bernhard Riemann.

5. A line integral is defined for functions of two or three variables, and the interval of integration [a, b] is replaced by a certain curve connecting two points on the plane or in the space.

6. The Integral for engineer work to find and make structure about everything and every engineer needs know integral.

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