(1 point) Consider the graph of the function $g(x)$: The graph from $x = 2$ to $x = 6$ is a semicircle. Evaluate the following integrals by interpreting them in terms of areas: (a) ( int_0^2 g(x) , dx = ) (b) ( int_2^6 g(x) , dx = ) (c) ( int_0^7 g(x) , dx = )
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This area is a triangle with base 2 and height 4. Therefore, the area is given by (1/2) * base * height = (1/2) * 2 * 4 = 4. Show more…
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Consider the graph of the function g(x): The graph from x = 2 to x = 6 is a semicircle. Evaluate the following integrals by interpreting them in terms of areas: (a) ∫₀² g(x) dx = (b) ∫₂⁶ g(x) dx = (c) ∫₀⁷ g(x) dx =
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