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The Definite Integral

The Definite Integral. When we find the area under a curve by adding rectangles, the answer is called a Rieman sum. The width of a rectangle is called a subinterval. The entire interval is called the partition. subinterval. partition. Subintervals do not all have to be the same size.

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Definite Integral

Definite Integral. Two main points of view: Integral as (signed) area under curve Integral as antiderivative Riemann integral. Area Under Curves. Find area under curve between x=a and x=b by taking limits: First subdivide [a,b] into n equal subintervals

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4.3 Riemann Sums and Definite Integrals

4.3 Riemann Sums and Definite Integrals. Objectives. Understand the definition of a Riemann sum. Evaluate a definite integral using limits. Evaluate a definite integral using properties of definite integrals. Riemann Sums.

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Definite integral notation - PowerPoint PPT Presentation

The Definite Integral

Definite Integral

4.3 Riemann Sums and Definite Integrals