b) F (1) √x 1 -Jetr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2 Given that F(x) = a) F'(x) b) F'(4)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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pls do like example  5 way work

b) F (1)
Given that F(x) =
a) F'(x)
b) F'(4)
√x
1
Jrtr
1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find
2
Transcribed Image Text:b) F (1) Given that F(x) = a) F'(x) b) F'(4) √x 1 Jrtr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2
69 SECOND FUNDAMENTAL THEOREM OF CALCUL
Example 5:
Given that F(x) = [S₁²₁ dt].
1
12
Using the Second Fundamental Theorem of Calculus, find
a)
b)
Solution:
a)
F'(x).
F'(4).
b)
F'(x) =
F'(4)
Example 6:
=
=
d
dx
√x
-12
t - 1
dg
f(x) dx
dt
1
2(√4
(₂√x)
√x
1
1
2 (√x - 1)
- 1)
xin x
t
Given that F(x) = [++ dt].
2/2
-1
Transcribed Image Text:69 SECOND FUNDAMENTAL THEOREM OF CALCUL Example 5: Given that F(x) = [S₁²₁ dt]. 1 12 Using the Second Fundamental Theorem of Calculus, find a) b) Solution: a) F'(x). F'(4). b) F'(x) = F'(4) Example 6: = = d dx √x -12 t - 1 dg f(x) dx dt 1 2(√4 (₂√x) √x 1 1 2 (√x - 1) - 1) xin x t Given that F(x) = [++ dt]. 2/2 -1
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