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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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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प्रश्न

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

बेरीज
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उत्तर

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.

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Area Bounded by the Curve, Axis and Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Application of Definite Integration - Miscellaneous Exercise 5 [पृष्ठ १९०]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 5 Application of Definite Integration
Miscellaneous Exercise 5 | Q 2.01 | पृष्ठ १९०

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