Page 72 - Mathematics Class - XII

TOPIC - 5: Integrals

ACTIVITY 5.1

OBJECTIVE
b
To evaluate the definite integral 1 xdx as the limit of a sum and verify it by actual integration.
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a

MATERIAL REQUIRED
Y Cardboard/drawing board Y Graph paper
Y Chart paper Y Geometry box

PRE-REQUISITE KNOWLEDGE
1. Knowledge of the concept definite integral.
2. Knowledge of the concept area of the bounded curve.
3. Knowledge of the concept area of trapezium.

PROCEDURE

1. Take a cardboard/drawing board of a convenient size and paste a white paper on it and finally paste a graph
sheet on it.

2. Draw two perpendicular lines to represent coordinate axes XOX′ and YOY′.
3. Draw a quadrant of a circle with O as centre and radius 1 unit (10 cm) as shown in Fig.(a).

Fig. (a)

The curve in the 1 quadrant represents the graph of the function 1− x in the closed interval [0, 1].
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