Mathematics Exam > Mathematics Questions > L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?
Start Learning for Free
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?
Most Upvoted Answer
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?
Calculation of L
- Given: L = π/14 * ∫(x^2 + y^2)^(5/2) dy dx
Steps to Calculate L
1. First, integrate with respect to y:
∫(x^2 + y^2)^(5/2) dy = (2/7) * (x^2 + y^2)^(7/2) + C
2. Next, integrate the above result with respect to x:
L = π/14 * ∫(2/7) * (x^2 + y^2)^(7/2) dx
= π/49 * (x^2 + y^2)^(7/2) + C
3. To find the final result, we need to evaluate the expression at the limits of integration.
4. Since the limits of integration are not given in the question, we cannot provide a numerical value for L without these limits.
5. In summary, the expression for L is given by π/49 * (x^2 + y^2)^(7/2) + C, where C is the constant of integration. The final value of L depends on the specific limits of integration provided in the problem.
- Given: L = π/14 * ∫(x^2 + y^2)^(5/2) dy dx
Steps to Calculate L
1. First, integrate with respect to y:
∫(x^2 + y^2)^(5/2) dy = (2/7) * (x^2 + y^2)^(7/2) + C
2. Next, integrate the above result with respect to x:
L = π/14 * ∫(2/7) * (x^2 + y^2)^(7/2) dx
= π/49 * (x^2 + y^2)^(7/2) + C
3. To find the final result, we need to evaluate the expression at the limits of integration.
4. Since the limits of integration are not given in the question, we cannot provide a numerical value for L without these limits.
5. In summary, the expression for L is given by π/49 * (x^2 + y^2)^(7/2) + C, where C is the constant of integration. The final value of L depends on the specific limits of integration provided in the problem.
|
Explore Courses for Mathematics exam
|
|
Similar Mathematics Doubts
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?
Question Description
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?.
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?.
Solutions for L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? defined & explained in the simplest way possible. Besides giving the explanation of
L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=?, a detailed solution for L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? has been provided alongside types of L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? theory, EduRev gives you an
ample number of questions to practice L=π/14*int(x^2+y^2)^5/2*dy*dx then (L)=? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup