Suppose f(x) <0 on [0, 2], f(x) > 0 on [2, 5], So f(x)dx = -6, and So(f(x) + \f(x)|]dx L f(r)dx = 8. Evaluate:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Suppose f(x) < 0 on [0, 2], f(x) > 0 on [2, 5], fo´ f(x)dæ = -6, and
L f(x)dx = 8. Evaluate:
So(f(x) + \f(x)|]dx
Transcribed Image Text:Suppose f(x) < 0 on [0, 2], f(x) > 0 on [2, 5], fo´ f(x)dæ = -6, and L f(x)dx = 8. Evaluate: So(f(x) + \f(x)|]dx
Expert Solution
Step 1

Consider the given information.

02fxdx=6 and 25fxdx=8

We have to calculate the integral.

I=05fx+fxdx

First break the interval according to the given integral.

I=02fx+fxdx+25fx+fxdx

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