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

Find the area under the curve y=x3 from x=0 to x=2.

  1. 4
  2. 8
  3. 2
  4. 16

Answer

A. 4

Solution

02 x3,dx=≤ft[x4/4 ]02=16/4=4.

More Applications: Area Between Curves questions

  1. Find the area enclosed between y=x and y=x2 from x=0 to x=1.
  2. Find the area between the curve y=6x-x2 and the x-axis.
  3. Find the area bounded by y=sqrt(x), the x-axis, and x=4.
  4. Find the area between y=x2 and y=2x from x=0 to x=2.
  5. Find the area enclosed by the astroid x=2 3t, y=2 3t.
  6. Find the total area enclosed by the lemniscate r2=16 2 .
  7. Find the area of the region that lies inside the circle r=3 and outside the cardioid r=1+ .
  8. Find the area of one petal of the rose r=4 3 .
  9. Find the area enclosed by the cardioid r=2(1+ ).
  10. Find the area bounded by y= x and y= x between x= π4 and x=5π/4.

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