Diffrential integral , Mathematics

Assignment Help:

All the integrals below are understood in the sense of the Lebesgue.

(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then

                            960_Diffrential Integral.png

(2) Assume that f is integrable over [0; 1]. Show that

                                       1057_Diffrential Integral 1.png

is di erentiable a.e on (0; 1).


(3) Assume that f is continuous on [0; 1]. Suppose that

 

                      1516_Diffrential Integral 2.png


Related Discussions:- Diffrential integral

Factors, write down all the factors of 36

write down all the factors of 36

Definition of the definite integral , Using the definition of the definite ...

Using the definition of the definite integral calculate the following.                                                             ∫ 0 2  x 2   + 1dx Solution Firstly,

Maxima and minima, Maxima and Minima We have to make a distinctio...

Maxima and Minima We have to make a distinction between relative maxima (or minima) and global maxima (or minima). Let f(x) be a function of x. Then the global maxi

Linear programming, what is the advantage of dual linear problem programmin...

what is the advantage of dual linear problem programming when we maximize profit then what is need to minimize cost of the same problem

Numerical method, find the newton raphson iterative formula for a reciproca...

find the newton raphson iterative formula for a reciprocal of a number N and hence find the value of 1/23

Project, report on shares and dividend using newspaper

report on shares and dividend using newspaper

Problems with applying algorithms , PROBLEMS WITH APPLYING ALGORITHMS :  F...

PROBLEMS WITH APPLYING ALGORITHMS :  From your experience, you would agree that children are expected to mechanically apply the algorithms for adding or subtracting numbers, regar

Integrals involving quadratics - integration techniques, Integrals Involvin...

Integrals Involving Quadratics To this point we have seen quite some integrals which involve quadratics.  Example of Integrals Involving Quadratics is as follow: ∫ (x / x 2

Brownian motion, How do I find the density of a square of a brownian motion...

How do I find the density of a square of a brownian motion .

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

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