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

Truth criteria-nature of mathematics, Truth Criteria :  Consider the follo...

Truth Criteria :  Consider the following statements: i) Peahens (i.e., female peacocks) lay eggs around September. ii) Water boils at 100°C. iii) 5 divides 15 without lea

Circles, Circles In this section we are going to take a rapid look at ...

Circles In this section we are going to take a rapid look at circles.  Though, prior to we do that we have to give a quick formula that expectantly you'll recall seeing at som

Invertible Matrices - Logical equivalence, 10 statements must be shown to b...

10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.

Viscosity measure, get the viscosity of particle to apply the stoke''s law

get the viscosity of particle to apply the stoke''s law

Compute the quartile coefficient of skewness, By using the above data compu...

By using the above data compute the quartile coefficient of skewness Quartile coefficient of skewness = (Q3 + Q1 - 2Q2)/(Q3 + Q1)                                The positio

Setup the mass balance equation - linear system method, Two tanks initially...

Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

Find lim sup, 1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.  2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.  3.let r>0 an

Derivatives with chain rule, Chain Rule : We've seen many derivatives...

Chain Rule : We've seen many derivatives.  However, they have all been functions similar to the following kinds of functions. R ( z ) = √z      f (t ) = t 50

Quadric surfaces, identify 4 sketch the quadric surfaces

identify 4 sketch the quadric surfaces

Solve the right triangle, 1. Solve the right triangle. B = 135     c = 3...

1. Solve the right triangle. B = 135     c = 3.72 A  ≈ ____°    (round to the nearest tenth as needed) 2.  Solve the right triangle, where  a =4 and b =10 The length of

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