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

Generic rectangle puzzle solve, What do you need to multiply 30 by to get 1...

What do you need to multiply 30 by to get 1500? This will give you the top edge length of the rectangle. Can you then figure out what must go below the 30 in order to get the area

Arithmetic progression., 1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d ar...

1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d are in A.P 2.The nth term of an A.P is an+b.Find the sum of the series upto n terms.

Chi square distribution, Chi Square Distribution Chi square was first ...

Chi Square Distribution Chi square was first utilized by Karl Pearson in 1900. It is denoted by the Greek letter χ 2 . This contains only one parameter, called the number of d

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

Evaluate following limits at infinity, Evaluate following limits. ...

Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc

Example of product moment correlation, Example of Product moment correlatio...

Example of Product moment correlation The given data was acquired during a social survey conducted in a described urban area regarding the yearly income of described families

Determine the function notation, Given f (x) = - x 2 + 6 x -11 determine e...

Given f (x) = - x 2 + 6 x -11 determine each of the following. (a)    f ( 2) (b)   f ( -10) (c)    f (t ) Solution (a)    f ( 2) = - ( 2) 2   + 6(2) -11 = -3 (

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Illustrate pythagorean theorem, Q. Illustrate Pythagorean Theorem? Ans...

Q. Illustrate Pythagorean Theorem? Ans. You have definitely seen the Pythagorean Theorem before, so a 2 + b 2 = c 2 should look familiar to you. The Pythagorean Theor

Cone - three dimensional spaces, Cone - Three dimensional spaces The be...

Cone - Three dimensional spaces The below equation is the general equation of a cone. X 2 / a 2 + y 2 /b 2 = z 2 /c 2 Here is a diagram of a typical cone. Not

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