Diffrential integral , Mathematics

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

Posted Date: 2/15/2013 12:24:43 AM | Location : United States







Related Discussions:- Diffrential integral , Assignment Help, Ask Question on Diffrential integral , Get Answer, Expert's Help, Diffrential integral Discussions

Write discussion on Diffrential integral
Your posts are moderated
Related Questions

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi

The student council bought two various kinds of candy for the school fair. They purchased 40 pounds of candy at $2.15 per pound and x pounds at $1.90 per pound. What is the total n

#given that the perimeter of the buildig is 108m and the area of the floor is 138m, find the volume of the screed in m3 if it is 30mm thick

Solve the subsequent quadratic equation: Solve the subsequent quadratic equation through taking the square roots of both sides. 3x 2 = 100 - x 2 Solution: Step 1

I am less than 100 the sum of my digits is 4 half of me is an odd number

A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds

The total ticket sales for a soccer game were $1,260; 210 tickets were purchased. If all the tickets are the similar price, what was the cost of a ticket? Divide the total sale

GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th