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Solve the following : Find the area of the region bounded by the following curve, the X-axis and the given lines : (i) 0 ≤ x ≤ 5, 0 ≤ y ≤ 2(ii) y = sin x, x = 0, x = π(iii) y = sin x, x = 0, x = π3. - Mathematics and Statistics

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Sum

Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : 0 ≤ x ≤ 5, 0 ≤ y ≤ 2

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Solution

Required area = `int_0^5 y*dx,  "where"  y = 2`

= `int_0^5 2*dx = [2x]_0^5`

= 2 x 5 – 0
= 10 sq units.

Concept: Area Bounded by the Curve, Axis and Line
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 5 Application of Definite Integration
Miscellaneous Exercise 5 | Q 2.01 | Page 190
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