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

Statistics, If a mean score is 89 with a standard deviation of 8 points. Wh...

If a mean score is 89 with a standard deviation of 8 points. What is the least score you can make and be in the top 20%?

#title.square footage, The area of a rectangular yard is 480 square feet. T...

The area of a rectangular yard is 480 square feet. The yard is 24 feet wide. How many feet do I need to fence all four sides?

Percentage, A person spent 12.5% of his money and then rs.1600 and then 40%...

A person spent 12.5% of his money and then rs.1600 and then 40% of the remaining,now left rs.960 with him.What is his original money?

Homomorphism, Let G be a group acting on a set X. The action is called fait...

Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov

An even function, Assume that   i)  Determine all the roots of f...

Assume that   i)  Determine all the roots of f(x) = 0. ii)  Determine the value of k that makes h continuous at x = 3. iii)  Using the value of k found in (ii), sh

Pricing styrategies, #questiThe net profit in an appliance department for t...

#questiThe net profit in an appliance department for the spring /sumeer was $20,000 which represented 2% of net sales. Operating expenses total $480,000 find dollar amount of gross

Calculus, what is a domain of a function?

what is a domain of a function?

Algebra, Manuel is a cross-country runner for his school’s team. He jogged ...

Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle that has a length that is 3 tim

Co-ordinate geometry, CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  s...

CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  specially suited  for  dealing with  abstract concepts  of any  kind  and there  is  no limit  to  its  power  in this  field.

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