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The graph of g consists of two straight lines and a semi circle. Evaluate each

The Graph Of G Consists Of Two Straight Lines And A Semi Circle Evaluate Each class=

Sagot :

Given:

a)

[tex]\int ^1_0g(x)dx[/tex]

Consider the shape included in the region from 0 to 1 of g(x).

The area is,

[tex]\int ^1_0g(x)dx=\frac{1}{2}\times1\times4=2[/tex]

b) From x = to x = 6 includes the semi-circle. Its area is calculated as,

[tex]\int ^6_2g(x)dx=-\frac{1}{2}(\pi\times r^2)=-\frac{1}{2}(\pi\times2^2)=-2\pi=-6.28[/tex]

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