Engineering Board Exam Reviewer · Applications: Area Between Curves · medium
Find the area of the region bounded by the parabola y2=4x and the line y=2x-4.
- 9/2
- 18
- 27/2
- 9
Answer
D. 9
Solution
Intersections: y2=2y+8 y=-2,,4. Integrating with respect to y (right curve x=y+4/2, left curve x=y2/4): A= -24≤ft(y+4/2-y2/4 )dy=≤ft[y2/4+2y-y3/12 ]-24=9.
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