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Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 4 - Mathematics and Statistics

Sum

Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 4

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Solution

Required area = `int_0^5 y*dx, "where"  y = 4`

= `int_0^5 4*dx`

= `[4x]_0^5`

= 20 – 0
= 20 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
Exercise 5.1 | Q 1.3 | Page 187
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