Question
Asked Nov 26, 2019
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The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.
 
(a) integral from 0 to 6 f(x) dx
(b) integral from 0 to 15 f(x) dx
(c) integral from 15 to 21 f(x) dx and integral from 0 to 27 f(x) dx
у
y f(x)
6
х
6
12
18
24
CO
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у y f(x) 6 х 6 12 18 24 CO

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Expert Answer

Step 1

(a) integral from 0 to 6 f(x) dx.

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У y f(x) х 0 6 12 18 From above figure a -2, b=9 and height = 6 for the trapezium from 0 to 6. Creya+b)(0)29) -3(1)-3 24 Co

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Step 2

(b) integral from 0 t...

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У y=f(x) X 0 6 18 From above figure a 3, b 9 and height 9 for the trapezium from 6 to 15. 15 33+f(x)dx 33a+b)=33+ (9)3+9)-33+(12) 33+9(6) 33+54 87 24 12

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Tagged in

Math

Calculus

Integration