Maharashtra State BoardHSC Arts 12th Board Exam
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Find the area bounded by the curve y^2 = 4ax, x-axis and the lines x = 0 and x = a. - Mathematics and Statistics

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

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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`

 

Concept: Area of the Region Bounded by a Curve and a Line
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