Let f and g continuous functions in that satisfy at the same time the following equalities : • [ (ƒ (x) + 9(x)) dx = x³ + x² • g'(x) = 5x³ + 6 •g (0) = 0 What's the value of [1(a) dz 325 O a) 4 3x5 O b) 4 3.25 O c) 4 3x5 O d) 4 + 2x² + C 2x² + C -3x² + C +3x²+ C

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f and g continuous functions in that satisfy at the same time
the following equalities :
• [ (ƒ (x) + 9(x)) dx = x³ + x²
• g'(x) = 5x³ +6
g (0) = 0
What's the value of
[ f(x) dx
3x5
4
3x5
4
3.x5
4
3x5
4
O b)
O c)
O d)
+ 2x² + C
2x² + C
- 3x² + C
+3x² + C
Transcribed Image Text:Let f and g continuous functions in that satisfy at the same time the following equalities : • [ (ƒ (x) + 9(x)) dx = x³ + x² • g'(x) = 5x³ +6 g (0) = 0 What's the value of [ f(x) dx 3x5 4 3x5 4 3.x5 4 3x5 4 O b) O c) O d) + 2x² + C 2x² + C - 3x² + C +3x² + C
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