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Fill in the blank : The area of the region bounded by the curve x2 = y, the X-axis and the lines x = 3 and x = 9 is _______. - Mathematics and Statistics

Fill in the Blanks

Fill in the blank :

The area of the region bounded by the curve x2 = y, the X-axis and the lines x = 3 and x = 9 is _______.

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Solution

Required area = `int_3^9 y*dx`

= `int_3^9 x^2*dx`

= `[x^3/3]_3^9`

= `(1)/(3)(9^3 - 3^3)`

= `(1)/(3)(729 - 27)`

= `(702)/(3)`
= 234 sq. units.

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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 2.4 | Page 158
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