We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution
+ Link For Past Papers, Solved MCQs, Short Notes & More
Dear Students! Share your Assignments / GDBs / Quizzes files as you receive in your LMS, So it can be discussed/solved timely. Add Discussion
How to Add New Discussion in Study Group ? Step By Step Guide Click Here.
Discuss the role of constant of integration in indefinite integrals, why we don't involve it in definite integrals? (Be precise)
Opening Date: Feb 6, 2013 at 12:01 AM
Closing Date: Feb 7, 2013 at 11:59 PM
(1) Post your comments only on the concern Graded MDB forum and not on regular MDB forum.
(2) Write your comments in the plain text and avoid math type symbols and figures/graphs/images as these will not appear on the board.
(3) Zero marks will be given to irrelevant comments or to those which are copied from website or any other source.
(5) Do not enter your comments more than once.
(6) Due date will not be extended.
(7) No description will be accepted through e-mail.
.+ 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)
Discuss here on this topic
Please Discuss here about this GDB.Thanks
Our main purpose here discussion not just Solution
We are here with you hands in hands to facilitate your learning and do not appreciate the idea of copying or replicating solutions.
In the equation
the letter C is called the constant of integration. The function f ( x ) is still called the integrand, like it was for the definite integral.
The indefinite integral
and the general solution to the differential equation both describe the same thing: the collection of all functions with derivative f ( x ). Whether we're working in the context of integrals or of differential equations, we use the constant + Cto describe all antiderivatives or all solutions at once.
A definite integral is an integral of the form
The integral sign has limits of integration. A definite integral is a number. There's no need to write + C.
An indefinite integral is an integral of the form
There are no limits of integration on the integral sign. This indefinite integral is the family of all antiderivatives of f ( x ). Remember to write + C!
You can approximate the area under a curve by adding up right, left, or midpoint rectangles. To find an exact area, you need to use a definite integral.
When you approximate the area under a curve, the tops of the rectangles form a saw tooth shape that doesn’t fit perfectly along the smooth curving function. So, to find the exact area under a curve using rectangles, you’d need to find the area of an infinite number of infinitely thin rectangles whose “tops” do perfectly fit the curve. Now, you can’t really use an infinite number of rectangles, but with the fantastic invention of limits, this is sort of what happens.
Here’s the “simple” definition of the definite integral that’s used to compute exact areas. It’s based on the limit of a Riemann sum of right rectangles. The exact area under a curve between a and b is given by the definite integral, which is defined as follows:
thaaaaaaaaaaanx usman bro
bt i'm bit confuzed about it
y we dont involve the constant of integration in definite integrals
is ponit ki b solid reasons ko explain kro
Thank you soooo much usman bro.apne jo link help keleay dia hai its too helpful for whole course of math 101 sach....
thank u this site is so mch helpful for mth whole course