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Write the given expression as a single integral in the following form. [_^¸ ƒ (x) dx + [* f (x) dx − [_*²* f (x) dx Part 1 of 3 We know that for a ≤ b ≤ c, Using the first and second integrals, since we have -4 ≤ 1 ≤ 4, Part 2 of 3 [ ₁ f(x) dx + [² f(x) dx = [" [° 1x) dx + [²1(x) dx = [° 1x) dxc- :) We also know that : Srº ²(x) dx = -√² ₁² - I ² F(x) f(x) dx = f(x) dx. Therefore, we can say the following. f(x) dx f(x) dx. Part 3 of 3 Using these results, we can say the following. [^_10x) dx + [²^1x) dx = [²10x) dx = [²^x) dx + [²*10x dx f(x) - f(x) f(x) f(x) 0 -6 X X f(x) dx

Write the given expression as a single integral in the following form. [_^¸ ƒ (x) dx + [* f (x) dx − [_*²* f (x) dx Part 1 of 3 We know that for a ≤ b ≤ c, Using the first and second integrals, since we have -4 ≤ 1 ≤ 4, Part 2 of 3 [ ₁ f(x) dx + [² f(x) dx = [" [° 1x) dx + [²1(x) dx = [° 1x) dxc- :) We also know that : Srº ²(x) dx = -√² ₁² - I ² F(x) f(x) dx = f(x) dx. Therefore, we can say the following. f(x) dx f(x) dx. Part 3 of 3 Using these results, we can say the following. [^_10x) dx + [²^1x) dx = [²10x) dx = [²^x) dx + [²*10x dx f(x) - f(x) f(x) f(x) 0 -6 X X f(x) dx

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 71E
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5.2 q16

Tutorial Exercise Write the given expression as a single integral in the following form. [²56₂ [16 Part 1 of 3 f (x) dx + We know that for a ≤ b ≤ c, Part 2 of 3 f(x) dx + √ 1 (x) dx - [ Using the first and second integrals, since we have -4 ≤ 1 ≤ 4, 4 We also know that -2 -=[ [² fo ·b [° f(x) dx + √² (x) dx = [° f(x) dx- rb · [² f(x) dx = -√ ° F f(x) dx= f (x) dx f(x) dx = f(x) dx. f(x) dx. Therefore, we can say the following. f(x) dx Part 3 of 3 Using these results, we can say the following. 4 -2 [²x] dx + [²Rx) de - [² ras dx = [* Rx) dx + [ - * Pox) dar f(x) F(x) f(x) dx F(x) f(x) F(x) FQ f(x) dx -4 -4 0 -6 X X f(x) dx
Transcribed Image Text:Tutorial Exercise Write the given expression as a single integral in the following form. [²56₂ [16 Part 1 of 3 f (x) dx + We know that for a ≤ b ≤ c, Part 2 of 3 f(x) dx + √ 1 (x) dx - [ Using the first and second integrals, since we have -4 ≤ 1 ≤ 4, 4 We also know that -2 -=[ [² fo ·b [° f(x) dx + √² (x) dx = [° f(x) dx- rb · [² f(x) dx = -√ ° F f(x) dx= f (x) dx f(x) dx = f(x) dx. f(x) dx. Therefore, we can say the following. f(x) dx Part 3 of 3 Using these results, we can say the following. 4 -2 [²x] dx + [²Rx) de - [² ras dx = [* Rx) dx + [ - * Pox) dar f(x) F(x) f(x) dx F(x) f(x) F(x) FQ f(x) dx -4 -4 0 -6 X X f(x) dx
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