How to solve this question 4. Let F = (3y cos(3z) + 4z)i + (3 + sin(3z))j. Use the Fundamental Theorem ofLine Integrals to find ſe F•dï, where C is the curve given to the right, orientedas shown. Show your work, and circle your final answer.X-

Answered: Image /qna-images/answer/b3c3cce4-b80d-4361-b22b-0c2901150b1f.jpg

Answered: 4. Let F = (3y cos(3z) + 4z)i+ (3+…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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Verify that the Fundamental Theorem for line integrals can be used to evaluate the following line integral, and then evaluate the line integral using this theorem. v(e -* sin y) • dr, where C is the line from (0,0) to (In 3,1t) Select the correct choice below and fill in the answer box to complete your choice as needed. A. The Fundamental Theorem for line integrals can be used to evaluate the line integral because the function is conservative on its domain and has a potential function p(x,y) = (Type an exact answer.) O B. The function is not conservative on its domain, and therefore, the Fundamental Theorem for line integrals cannot be used to evaluate the line integral.
Use all the tools considered so far to calculate the following integrals, the closed curves are traversed in a counterclockwise direction, Hint: watch your reasoning, do not skip steps to perform them. The integral is in the image
Needed to be solved correclty in 1 hour completely and get the thumbs up please show neat and clean work.box answer should be right
Please solve B9b....show clear working
Let a>0. r2 + a2 dr. Use a trigonometric substitution to calculate the indefinite integral z4 Show your work. Note: Your answer should be in terms of x and a only, and you must use a trigonometric substitution in your solution.
evaluates the intergrals
sin ät cos t dt
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4. Let F = (3y cos(3z) + 4z)i+ (3+ sin(3z))j. Use the Fundamental Theorem of Line Integrals to find fe F-dř, where C is the curve given to the right, oriented as shown. Show your work, and circle your final answer.