# Fill in the blank : The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______. - Mathematics and Statistics

Fill in the Blanks

Fill in the blank :

The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.

#### Solution

Required area = 2int_1^4y*dx

= 2int_1^4 2sqrt(x)*dx

= 4[x^(3/2)/(3/2)]_1^4

= (8)/(3)[(4)^(3/2) - (1)^(3/2)]

= (8)/(3)(8 - 1)

= (56)/(3)"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 2.5 | Page 158