The graph of g consists of two straight lines and a semicircle. Use it to eveluate the integral.12210203861.jpgint_0^35 g(x)dx

Armorikam

Armorikam

Answered question

2021-02-19

The graph of g consists of two straight lines and a semicircle. Use it to eveluate the integral.
image
035g(x)dx

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-02-20Added 106 answers

The integral 035g(x)dx is the area between the graph of g and the horizontal x-axis on the interval 0x35. We separate this integral into the parts of (a) and (b) along with
3035g(x)dx.
3035g(x)dx represents the area that forms a triangle with base b = 5 and height h = 5.
The area of a triangle is the product of the base b and the height h, divided by 2.
3035g(x)dx=bh2
=552
=252
=12.5

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