Maharashtra State BoardHSC Commerce 12th Board Exam
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Solve the following : Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4. - Mathematics and Statistics

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Sum

Solve the following :

Find the area of the region bounded by y = x2, the X-axis and x = 1, x = 4.

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Solution


Required area = `int_1^4y*dx`

= `int_1^4 x^2*dx`

= `[x^3/3]_1^4`

= `(1)/(3)(4^3 - 1^3)` 

= `(1)/(3)(64 - 1)`

= `(1)/(3)(63)`

= 21 sq. units.

Concept: Area Under Simple Curves
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 7 Applications of Definite Integration
Miscellaneous Exercise 7 | Q 4.5 | Page 158
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