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§1 Definite Integral is the Limit of a Riemann Sum

§1 Definite Integral is the Limit of a Riemann Sum. Find the sum of the areas of the rectangles in terms of n and f. y=f(x). y=f(x). n. A i. Group Discussion Express each of the following integrals as a limit of sum of areas:. Homework Ex.9.4.

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§1 Definite Integral is the Limit of a Riemann Sum

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  1. §1 Definite Integral is the Limit of a Riemann Sum

  2. Find the sum of the areas of the rectangles in terms of n and f. y=f(x) y=f(x) n Ai

  3. Group DiscussionExpress each of the following integrals as a limit of sum of areas:

  4. Homework Ex.9.4 Area bounded by the curve, x-axis, x=a and x=b

  5. §2 Properties of Definite Integrals

  6. §3 Evaluation of Definite Integrals • More complicated examples • Luckily, we have two great mathematicians Newton and Leibniz. • Newton-Leibniz Formula • If f is continuous on [a, b], then f(x) is integrable on [a, b] and • ab f(x)dx=F(b)-F(a), • where F’(x) = f(x).

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