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Solution - Find the area bounded by the curve y^2 = 4ax, x-axis and the lines x = 0 and x = a. - Area of the Region Bounded by a Curve and a Line

Question

Find the area bounded by the curve y2 = 4axx-axis and the lines x = 0 and x = a.

Solution

Area bounded = `int_0^aydx`

`=int_0^asqrt(4ax)dx`

`=2sqrtaint_0^ax^(1/2)dx`

`=2sqrta[(x^(1/2+1))/(1/2+1)]_0^a`

`=2sqrtaxx2/3xxa^(3/2)`

`=4/3a^(1/2+3/2)`

`=4/3a^2`

 

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APPEARS IN

2015-2016 (March)
Question 4.2.3 | 2 marks
2014-2015 (October)
Question 4.2.2 | 2 marks
Solution for question: Find the area bounded by the curve y^2 = 4ax, x-axis and the lines x = 0 and x = a. concept: Area of the Region Bounded by a Curve and a Line. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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