HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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Solution for 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 (Electronics) 12th Board Exam - Mathematics and Statistics

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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

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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 (Electronics), HSC Science (Computer Science), HSC Arts, HSC Science (General)
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