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

Find the area bounded by y= x and y= x between x= π4 and x=5π/4.

1. 2 sqrt(2) 2.83
2. sqrt(2) 1.41
3. 4
4. 2

Answer

A. 2 sqrt(2) 2.83

Solution

On this interval x≥ x. A= π/45π/4( x- x),dx=≤ft[- x- x ]π/45π/4=≤ft( 2/2+ 2/2 )-≤ft(- 2/2- 2/2 )=2 2.

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