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Find the area of the region bounded by the curve y^2=4x and th

Question

Find the area of the region bounded by the curve $y^{2} = 4 x$ and the line $x = 3$ .

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Lucas Discussed

Find the area of the region bounded by the curve

y^{2} = 4 x

and the line

x = 3

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Area bound by

y^{2} = 4 x

and

x = 3

y = \pm 2 x

x = 3, y^{2} = 12

y = \pm 23

y^{2} = 4 x

is symmetric wrt to x axis area of

O A B = 2 O A C

A = \int y d x

A = \int_{0}^{3} 2 x d x

= \frac{2}{\frac{3}{2}} x^{\frac{3}{2}}

△ O A C = \frac{4}{3} \times (27)^{\frac{1}{2}} = 43

△ O A B = 2△ O A C = 83

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Question Text	Find the area of the region bounded by the curve $y^{2} = 4 x$ and the line $x = 3$ .
Answer Type	Text solution:1
Upvotes	150