Definite integral, Mathematics

Assignment Help:

Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval select a point xi* .  Then the definite, integral of f(x) from a to b is

122_Definite Integral.png

There is also a little bit of terminology that we should get out of the way here.

Lower limit of the integral

The number "a" that is at the bottom of the integral sign is called the lower limit of the integral

Upper limit of the integral

The number "b" at the top of the integral sign is called as the upper limit of the integral. 

Interval of integration

Also, in spite of the fact that a & b were given as an interval the lower limit does not essentially need to be smaller than the upper limit.  Jointly we'll often call a & b the interval of integration.


Related Discussions:- Definite integral

Tower of hanoi, how to create an activity of tower of hanoi

how to create an activity of tower of hanoi

Marketing management , Draw the typical profile(s) of Shoppers'' Stop custo...

Draw the typical profile(s) of Shoppers'' Stop customers segments.

Developing an understanidng of multiplication, DEVELOPING AN UNDERSTANIDNG ...

DEVELOPING AN UNDERSTANIDNG OF MULTIPLICATION :  The most important aspect of knowing multiplication is to understand what it means and where it is applied. It needs to be first i

Determines the first four derivatives of y = cos x, Example    determines t...

Example    determines the first four derivatives for following.                                                                  y = cos x Solution: Again, let's just do so

If oa = ob = 14cm, If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded r...

If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded region.  (Ans:21cm 2 ) Ans:    Area of the shaded region = Area of ? AOB - Area of Semi Circle = 1/2  x 14 x

Explain the vertex formula, Explain the Vertex Formula ? The vertex for...

Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax

Inverse functions, We have seen that if y is a function of x, then fo...

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd