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Mathematics. Session. Definite Integrals - 3. Session Objectives. Definite Integral as the Limit of a Sum Areas of Bounded Regions Class Exercise. Definite Integral as the Limit of a Sum. OR. Example - 1. Solution Cont. Example - 2. Solution Cont. Example - 3. Solution Cont.
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Session Definite Integrals - 3
Session Objectives • Definite Integral as the Limit of a Sum • Areas of Bounded Regions • Class Exercise
Areas of Bounded Regions 1. Let f(x) be a continuous function defined on the interval [a, b]. Then, the area bounded by the curve y = f(x), x-axis and the ordinates x = a, x = b is • The area bounded by the curve x = f(y), y-axis and the abscissae y = c, y = d is
Example - 8 Solution: The given curves are (i) and (ii) intersect at (1, 0) and (0, 1).
Example - 10 Solution: The given curves are
y x2 + y2 = 1 x x' (1, 0) O (x-1)2 + y2 = 1 y' Solution Cont.