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Find the area of the region bounded by y^2 = 9x, x = 2, x = 4

Question

Find the area of the region bounded by $y^{2} = 9 x, x = 2, x = 4$ and the $x$ -axis in the first quadrant.

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Scarlett Discussed

Find the area of the region bounded by

y^{2} = 9 x, x = 2, x = 4

and the

x

-axis in the first quadrant.

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

The area of the region bounded by the curve,

y^{2} = 9 x, x = 2

and

x = 4

, and the

x

-axis is the area

A BC D

.
Area of

A BC D

= \int_{2}^{4} y d x

= \int_{2}^{4} 3 x d x

= 3 [\frac{x ^{\frac{3}{2}}}{\frac{3}{2}}]_{2}^{4}

= 2 [x^{\frac{3}{2}}]_{2}^{4}

= 2 [(4)^{\frac{3}{2}} - (2)^{\frac{3}{2}}]

= 2 [8 - 22]

= (16 - 42) u ni t s

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Question Text	Find the area of the region bounded by $y^{2} = 9 x, x = 2, x = 4$ and the $x$ -axis in the first quadrant.
Answer Type	Text solution:1
Upvotes	150