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Chapter 3: Q. 22 (page 166)

Use the result obtained in Problem20to find the area enclosed byf(x)=2x2+8, thex-axisand the linesx=-2andx=2.

Short Answer

Expert verified

The area is42.67.

Step by step solution

01

Step 1. Given information

It is given that f(x)=2x2+8, we need to use the result obtained in problem 20to determine the area enclosed byf(x), thex-axisand the linesx=-2andx=2.

02

Step 2. Simplify

f(x)=2x2+8

For x=-2,

y0=2路(-2)2+8

=16

For x=0,

y1=2路(0)2+8

=8

For x=2,

y2=2路(2)2+8

=16

So, Area =23(y0+4y1+y2)

=23(16+4路8+16)

=1283

=42.67

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