# Find the area bounded between two curves. {(x,y): Y^2 ≤ 4x, 4x^2 + 4y^2 ≤9}

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Find the area of the region bounded between two given curves by integration. {(x,y): Y^2 ≤ 4x, 4x^2 + 4y^2 ≤9}

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#### Solution Preview

Here we have to find the area bounded between two curves. So the limits of integration is the points of intersection of the parabola and the circle.

Let R=

R= = (say)

Region

The graph of is a parabola with vertex at (0, 0) and x-axis as its axis

is ...

#### Solution Summary

The area bounded between two curves is found. The region bounded between the two given curves by integration are determined.

$2.49