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

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

What are natural numbers and whole numbers, What are Natural Numbers and Wh...

What are Natural Numbers and Whole Numbers? Natural numbers are the numbers that you "naturally" use for counting: 1, 2, 3, 4, ... The set of whole numbers is the set of

Fractions Word Problem, 1/8 of the passengers of a train were children.If t...

1/8 of the passengers of a train were children.If there were 40 children travelling in the train on a certain day,how many adults were there in that train that day?

Parenteral calculations, 850ml is to be administered to a person over 8 hou...

850ml is to be administered to a person over 8 hours using a drop factor of 20 drops/ml what is the flow rate in gtts/min ?

What is dividing fractions, What is Dividing Fractions? If you want to ...

What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication

Sharon purchased six movie tickets how much was each ticket, Sharon purchas...

Sharon purchased six adult movie tickets. She spent $43.50 on the tickets. How much was each ticket? To ?nd out the price of each individual ticket, you should divide the total

Evaluate the area of circle, If the radius of a sphere is doubled, the surf...

If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf

Differential equation (dy/dx) +x^2 = x^2*e^(3y), The general solution of th...

The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

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