Engineering Board Exam Reviewer · Applications: Area Between Curves · easy

Find the area of the region bounded by the parabolas y=x2 and y=8-x2.

  1. 32/3
  2. 128/3
  3. 64/3
  4. 16

Answer

C. 64/3

Solution

Intersections: x2=8-x2 x= 2. A= -22(8-2x2),dx=2≤ft[8x-2x3/3 ]02=2≤ft(16-16/3 )=64/3.

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