1. Suppose | f(x) dx = 2, f(z) dr = 3, g(x) dæ = –1, and %3D g(x) dr = 4. %3D 0% Compute the following using the properties of definite integrals: ~2 g(x) dx = 3 (b) [es [2f(x) – 39(x)] dx - 39(2)] dz = 1o -9=D1 %3D (c) / 9(2) da undefined (d) / f(x) dr + 9(z) dz = 5 + 3 =8 (e) F(2) dz + [ g(2)dz 5 + 3 = 8 g(x) dx 2. Simplify 3f(x) dx + 3f(x) dx – 2f (x) dx - 3f(x) da
1. Suppose | f(x) dx = 2, f(z) dr = 3, g(x) dæ = –1, and %3D g(x) dr = 4. %3D 0% Compute the following using the properties of definite integrals: ~2 g(x) dx = 3 (b) [es [2f(x) – 39(x)] dx - 39(2)] dz = 1o -9=D1 %3D (c) / 9(2) da undefined (d) / f(x) dr + 9(z) dz = 5 + 3 =8 (e) F(2) dz + [ g(2)dz 5 + 3 = 8 g(x) dx 2. Simplify 3f(x) dx + 3f(x) dx – 2f (x) dx - 3f(x) da
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I am confused about how to do the second part. Can someone please help??
![1. Suppose
| f(x) dæ = 2, | f(x) dx = 3,
g(x) dx = -1, and
g(x) dx = 4.
%3D
%3D
Compute the following using the properties of definite integrals:
g(x) dx =
12f(z) – 39(2) dz 10 - 9= 1
9(
9(x) dx undehined
(d)/ f(x) dx+
69€) da = 5 + 3 8
r2
(e) f(x) dx +
9(2) dæ 5 + 3 =
2
3f(x) dx +
3f(z) dz – 2f(2) dz –
2f (x) da -
3f(x) dx
2. Simplify
15+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c095123-1d96-4ea0-8bf5-e8a4945f360d%2Fa6907ea8-bc43-4fbb-b976-a69fff4a571e%2Frbatzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suppose
| f(x) dæ = 2, | f(x) dx = 3,
g(x) dx = -1, and
g(x) dx = 4.
%3D
%3D
Compute the following using the properties of definite integrals:
g(x) dx =
12f(z) – 39(2) dz 10 - 9= 1
9(
9(x) dx undehined
(d)/ f(x) dx+
69€) da = 5 + 3 8
r2
(e) f(x) dx +
9(2) dæ 5 + 3 =
2
3f(x) dx +
3f(z) dz – 2f(2) dz –
2f (x) da -
3f(x) dx
2. Simplify
15+
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