ASSIGNMENT 8: APPLICATIONS OF THE FUNDAMEN TAL THEOREMS OF CALCULUS: PART I AREAS Problem 8.6. Find the following antiderivatives: 1) ſ cos(4.x)/V5 – sin(4r)dx 2) [ sin(vI+11) VI+11 3) J 10-219
ASSIGNMENT 8: APPLICATIONS OF THE FUNDAMEN TAL THEOREMS OF CALCULUS: PART I AREAS Problem 8.6. Find the following antiderivatives: 1) ſ cos(4.x)/V5 – sin(4r)dx 2) [ sin(vI+11) VI+11 3) J 10-219
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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Good afternoon. I hope you are doing well. I need help with finding antiderivatives for the functions attached as a jpg.
![**Assignment 8: Applications of the Fundamental Theorems of Calculus: Part I Areas**
**Problem 8.6**
Find the following antiderivatives:
1) \[
\int \cos(4x) \sqrt{5} - \sin(4x) \, dx
\]
2) \[
\int \frac{\sin\left(\sqrt{x+11}\right)}{\sqrt{x+11}} \, dx
\]
3) \[
\int \frac{x^5}{10 - 2x^9} \, dx
\]
(Note: The given expressions are integral equations that require finding the antiderivative, or indefinite integral, of each mathematical function.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5111351b-1042-4886-8af2-a2d624148dd8%2Fcecfdc1f-d28a-4108-93e1-5fc44824cd4a%2F1iorjbk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Assignment 8: Applications of the Fundamental Theorems of Calculus: Part I Areas**
**Problem 8.6**
Find the following antiderivatives:
1) \[
\int \cos(4x) \sqrt{5} - \sin(4x) \, dx
\]
2) \[
\int \frac{\sin\left(\sqrt{x+11}\right)}{\sqrt{x+11}} \, dx
\]
3) \[
\int \frac{x^5}{10 - 2x^9} \, dx
\]
(Note: The given expressions are integral equations that require finding the antiderivative, or indefinite integral, of each mathematical function.)
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