We have been working very hard since 2009 to facilitate in your learning Read More. We can't keep up without your support. Donate Now.
+ Link For Assignments, GDBs & Online Quizzes Solution |
+ Link For Past Papers, Solved MCQs, Short Notes & More |
Tags:
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)
+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)hi sis to phr is ka kya solution ho ga????
In definite integrals we don't involve constant of integration because definite integral gives us a definite value at the point of calculation .In it we use two limits as a and b which is area under the curve .Definite integral has limits and numbers above and below the integral sign but in indefinite integrals which is unlimited or boundless we always add an unknown constant which is constant of integration because the derivative of F(x)+C is equal to the derivative of F(x).
The definite integral of a function is closely related to the anti derivative and indefinite integral of a function. The primary difference is that the indefinite integral, if it exists, is a real number value, while the latter two represent an infinite number of functions that differ only by a constant. The relationship between these concepts is will be discussed in the section on the Fundamental Theorem of Calculus, and you will see that the definite integral will have applications to many problems in calculus.
The indefinite integral of a function f(x) is an anti-derivative. It is a function F(x) whose derivative is f(x). You always add an unknown constant to the indefinite integral because the derivative of F(x) plus any constant is the same as the derivative of F(x).
The definite integral of f(x) between two limits a and b is the area under the course from x=a to x=b. it is a number, not a function, equal to F (b) – F (a).
Definite integral has bounds (little numbers above and below the integral sign) whereas an indefinite integral is boundless and when you integrate it you have to put a + C (constants).
The definite integral of a function is closely related to the anti-derivative and indefinite integral of a function. The primary difference is that the indefinite integral, if it exists, is a real number value, while the latter two represent an infinite number of functions that differ only by a constant.
integral is inverse of derivation so something lost in derivation is a constant
If you think of the definite integral as the area under a curve y = f(x), and above the x-axis, between certain vertical lines (two values of x), it is obvious that the area has a certain specific value, so that no "plus C" would be appropriate.
On the other hand, if the vertical side boundaries of the area have not yet been specified, all you've found is the "antiderivative" F(x) of the function y = f(x), and it is obvious that the derivative of F(x) + 0.776 will be the same as the derivative of F(x) + 126.72 (I made up those numbers)
Discuss the role of constant of integration in indefinite integrals, why we don't involve it in definite integrals? (Be precise)
I'm assuming you're referring to the constant that is added after integration, rather than a constant term while integrating.
The constant is added because it denotes all possible anti derivatives. For example, integral of 1 is x + c. The c can be 2, pi, 46.2 etc. The family of anti derivatives is represented using that constant c.
The indefinite integral of a function f(x) is an anti-derivative. The definite integral of f(x) between two limits and b is the area under the course from x=a to x=b. it is a number, not a function, equal to F (b) – F (a).In definite integrals we don't involve constant of integration because definite integral gives us a definite value at the point of calculation .In it we use two limits as a and b which is area under the curve .Definite integral has limits and numbers above and below the integral sign but in indefinite integrals which is unlimited or boundless we always add an unknown constant which is constant of integration because the derivative of F(x)+C is equal to the derivative of F(x).
The definite integral of a function is closely related to the anti derivative and indefinite integral of a function. The primary difference is that the indefinite integral, if it exists, is a real number value, while the latter two represent an infinite number of functions that differ only by a constant. The relationship between these concepts is will be discussed in the section on the Fundamental Theorem of Calculus, and you will see that the definite integral will have applications to many problems.
It is a function F(x) whose derivative is f(x). You always add an unknown constant to the indefinite integral because the derivative of F(x) plus any constant is the same as the derivative of F(x).
this is the precise solution but be sure to change it in your own words and not just copy and paste this might or might not be accurate but there s always risk when you aint a mathematician yourself
>>>>As we know that derivative of a constant is Zero, so any constant might be added to an Indefinite Integral(and will correspond to the same integral). In other words it can also be said as that the anti derivative is a non-unique inverse of a derivative and for this reason a random constant is added commonly known as Constant of Integration.
mir ali Thanks for sharing
Note for All Members: You don’t need to go any other site for this assignment/GDB/Online Quiz solution, Because All discussed data of our members in this discussion are going from here to other sites. You can judge this at other sites yourself. So don’t waste your precious time with different links.
© 2020 Created by +M.Tariq Malik. Powered by
Promote Us | Report an Issue | Privacy Policy | Terms of Service
We are user-generated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List | Moderators Group
All Members | Featured Members | Top Reputation Members | Angels Members | Intellectual Members | Criteria for Selection
Become a Team Member | Safety Guidelines for New | Site FAQ & Rules | Safety Matters | Online Safety | Rules For Blog Post
Looking For Something at Site? Search Below
How to Add New Discussion in Study Group ? Step By Step Guide Click Here.
------------------------------------------------------------------------------------------------------------