Step 1: \ \

The line equation is \ \

And the curve equation is \ \

First find the points of intersection.

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and

and \ \

Substitute the values and solve for corresponding values of . \ \

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Points of intersections are and . \ \

The parabola equation is

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Vertex of the parabola at . \ \

Graph the region: \ \

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The parabola equation is \ \

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The limits ,

Each vertical cross section is between top part of parabola and bottom part of parabola : \ \

Height of cross-section \ \

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The limits ,

Each vertical cross section is between the line  of parabola and bottom part of parabola : \ \

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Height of cross-section \ \

Vertex of the parabola at . \ \

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Solution: \ \

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