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Use the two graphs below to set up definite integrals that represent the indicated shaded areas.yfx)y= g(x)yfx)(B)(A)a) Area over the interval [0,d] in Figure A.b) Area over the interval [a,c] in Figure A.c) Area over the interval [a,d] in Figure B

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please explain how to solve this

Use the two graphs below to set up definite integrals that represent the indicated shaded areas.
yfx)
y= g(x)
yfx)
(B)
(A)
a) Area over the interval [0,d] in Figure A.
b) Area over the interval [a,c] in Figure A.
c) Area over the interval [a,d] in Figure B
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Use the two graphs below to set up definite integrals that represent the indicated shaded areas. yfx) y= g(x) yfx) (B) (A) a) Area over the interval [0,d] in Figure A. b) Area over the interval [a,c] in Figure A. c) Area over the interval [a,d] in Figure B

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Step 1

(a)

We are given graph

and we can locate upper and lower curves on different regions

pper
upp
Lawn
Law
y= f(x)
LOWn
(A)
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pper upp Lawn Law y= f(x) LOWn (A)

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Step 2

Now, we can use formula for area 

 

Area = (upper-lower)dx
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Area = (upper-lower)dx

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Step 3

We can find areas of each regions on [0,d] and th...

From 0 to c
ea = [(f(x)- 0)dx
0
From c to d
a= J(0-f(x))dx
Area
C
-f(f(x)-0)dr + f(0- f(x))dx
Total area
0
C
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From 0 to c ea = [(f(x)- 0)dx 0 From c to d a= J(0-f(x))dx Area C -f(f(x)-0)dr + f(0- f(x))dx Total area 0 C

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