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Find the area of the region bounded by the curve {y}^{{2}}={x}

Question

Find the area of the region bounded by the curve $y^{2} = x$ and the lines $x = 1, x = 4$ and the x-axis.

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Harper Discussed

Find the area of the region bounded by the curve

y^{2} = x

and the lines

x = 1, x = 4

and the x-axis.

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Solution: I=

\int_{1}^{4} y d (x)

\int_{1}^{4} x d x

\frac{2}{3} (x^{\frac{3}{2}})^{4}

\frac{2}{3} (4^{\frac{3}{2}} - 1)

\frac{2}{3} (4 \cdot 2 - 1)

\frac{2}{3} \cdot 7

\frac{14}{3} u n i t^{2}

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