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

Find the area bounded by y=ex, y=e-x, and the line x= 3.

1. 2/3
2. 8/3
3. 10/3
4. 4/3

Answer

D. 4/3

Solution

The curves meet at x=0. A= 0 3≤ft(ex-e-x )dx=≤ft[ex+e-x ]0 3=≤ft(3+ 13 )-2= 43.

More Applications: Area Between Curves questions

1. Find the area under one arch of the cycloid x=3(t- t), y=3(1- t).
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3. Find the area bounded by y=x2 and y=4.
4. Find the area under the curve y=x3 from x=0 to x=2.
5. Find the area enclosed between y=x and y=x2 from x=0 to x=1.
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7. Find the area bounded by y=sqrt(x), the x-axis, and x=4.
8. Find the area between y=x2 and y=2x from x=0 to x=2.
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