2 Find [f(x) + 2g(x)]dx if [f(x)]dx = 5 and 1 [g(x)]dx = -3. 1) In order to evaluate this integral, use the properties listed in Theorem 5.5.4 so that we can use the values given: 2 [f(x) + 2g(x)]dx = - [₁ [f(x)]dx + Ĵ 2[g(x)]dx -1 ° juro juos + [f(x) + 2g(x)]dx = ・fro [f(x)]dx + 2 [g(x)]dx 2/1 -1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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dj v
[f(x) + 2g(x)]dx if [f(x)]dx
Ï
= 5 and
+ / 180x)
[g(x)]dx = -3.
1)
In order to evaluate this integral, use the properties listed in Theorem 5.5.4 so that we can use the values given:
O
2
[f(x) + 2g(x)]dx = - [f(x)]dx +
2[g(x)]dx
° Ju +
/va) +
2
2
[f(x) + 2g(x)]dx =
-
- [U(X)
[f(x)]dx + 2/ [g(x)]dx
-1
Find
Transcribed Image Text:dj v [f(x) + 2g(x)]dx if [f(x)]dx Ï = 5 and + / 180x) [g(x)]dx = -3. 1) In order to evaluate this integral, use the properties listed in Theorem 5.5.4 so that we can use the values given: O 2 [f(x) + 2g(x)]dx = - [f(x)]dx + 2[g(x)]dx ° Ju + /va) + 2 2 [f(x) + 2g(x)]dx = - - [U(X) [f(x)]dx + 2/ [g(x)]dx -1 Find
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