The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas.(a)-3.14(b)4(c)(d)(e)(f)-4(-4,-1)2[² ro6f(x) dxf(x) dx[²₁F(x)f(x) dx6for(x)f(x) dx6L₁IF(x|f(x) dx"6L₁ [F(x).[f(x) + 2] dx213(4,2)456X

Integration of a function guves the area under tthe curve.When the curve is above x-axis, positive…

Answered: (a) -3.14 (b) 4 (c) (d) (e) y 2 1 KA 3…

(a) -3.14 (b) 4 (c) (d) (e) y 2 1 KA 3 4 5 6 (f) (-4,-1) f(x) dx [° F(X) f(x) dx Laxx L₁ f(x) dx Lor f(x) dx LIMEX |f(x)| dx [f(x) + 2] dx (4,2)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 52E

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Question

The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas.
(a)
-3.14
(b)
4
(c)
(d)
(e)
(f)
-4
(-4,-1)
2
[² ro
6
f(x) dx
f(x) dx
[²₁F(x)
f(x) dx
6
for(x)
f(x) dx
6
L₁IF(x
|f(x) dx
"6
L₁ [F(x).
[f(x) + 2] dx
2
1
3
(4,2)
4
5
6
X

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