Find a function F(x) satisfying the given conditions. 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 3x² + 2; F(-3) = −32 3. F'(x) = 6x³ - 2x + 6 ; F(-1) = 1¹/23

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Find a function F(x) satisfying the given conditions.
1. F'(x) = 2x ; F(1) = 2
2. F'(x) = 3x² + 2 ; F(−3) = −32
3. F'(x) = 6x³ - 2x + 6 ; F(−1) = 1¹/23
2
Transcribed Image Text:Find a function F(x) satisfying the given conditions. 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 3x² + 2 ; F(−3) = −32 3. F'(x) = 6x³ - 2x + 6 ; F(−1) = 1¹/23 2
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