HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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# Solution - Find the area of the region lying in the first quandrant bounded by the curve y2= 4x, X axis and the lines x = 1, x = 4 - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

ConceptArea of the Region Bounded by a Curve and a Line

#### Question

Find the area of the region lying in the first quandrant bounded by the curve y2= 4x, X axis and the lines x = 1, x = 4

#### Solution

Let A be the required area
Consider the equation, y2 = 4x

∴ 1y=2sqrtx

∴ A=int_1^4ydx

=int_1^4 2sqrtxdx

=2.2/3[x^(3/2)]_1^4

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

=4/3[8-1]

A=28/3` sq.units

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#### APPEARS IN

2015-2016 (July) (with solutions)
Question 4.2.3 | 2 marks

#### Reference Material

Solution for question: Find the area of the region lying in the first quandrant bounded by the curve y2= 4x, X axis and the lines x = 1, x = 4 concept: Area of the Region Bounded by a Curve and a Line. For the courses HSC Science (Computer Science), HSC Science (General) , HSC Science (Electronics), HSC Arts
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