#### Question

Find the area of the region lying in the first quandrant bounded by the curve y^{2}= 4x, X axis and the lines x = 1, x = 4

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#### Solution

Let A be the required area

Consider the equation, y^{2} = 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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#### 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 (Electronics), HSC Arts, HSC Science (General)