3. F(x) = n(1+t)dt Prove that the function f(x) = cor In(1+z) is Riemann integrable on (0,27]
3. F(x) = n(1+t)dt Prove that the function f(x) = cor In(1+z) is Riemann integrable on (0,27]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 35RE
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Please, I want to solve only the two paragraphs marked in red.
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7:57
Real Analysis HW 1 ✓
Real Anylsis 417
2024-2
1. Let f(x)=r³ and P any partiton of the interval /= [0, 1]
Show that f is Remann integrble,
Hint: recall that k³= = ((+1) ) ², ,and (k-1)³ = ((-1))
dΣ(k- * = (²-¹)²)
K=1
K=1
1. fodr
2. dr
State whether the following improper integral is convergent or divergent:
... 46
Evalute F'(x), for
1. F(x) = f cost²dt
2.
fedt
3. F(x) = n(1+t)dt
Prove that the function f(x) = cox In(1+z) is Riemann integrable on [0, 2x]
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Transcribed Image Text:<
7:57
Real Analysis HW 1 ✓
Real Anylsis 417
2024-2
1. Let f(x)=r³ and P any partiton of the interval /= [0, 1]
Show that f is Remann integrble,
Hint: recall that k³= = ((+1) ) ², ,and (k-1)³ = ((-1))
dΣ(k- * = (²-¹)²)
K=1
K=1
1. fodr
2. dr
State whether the following improper integral is convergent or divergent:
... 46
Evalute F'(x), for
1. F(x) = f cost²dt
2.
fedt
3. F(x) = n(1+t)dt
Prove that the function f(x) = cox In(1+z) is Riemann integrable on [0, 2x]
.../
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