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

What is the formula to calculate area of rectangle, Charlie needs to know t...

Charlie needs to know the area of his property, that measures 120 ft through 150 ft. Which formula will he use? The area of a rectangle is length × width.

Geometry of arcs, how to divide an arc in three equal parts

how to divide an arc in three equal parts

Solve 3 + 2 ln ( x /7+3 ) = -4 logarithm, Solve 3 + 2 ln ( x /7+3 ) = -4 . ...

Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation  along with a coefficient of 1.

Which of the partially ordered sets are lattices, Which of the partially or...

Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.   Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting

Luis runs rate of 11.7 feet per second how far does he run, Luis runs at a ...

Luis runs at a rate of 11.7 feet per second. How far does he run in 5 seconds? You must multiply 11.7 by 5; 11.7 × 5 = 58.5. To multiply decimals, multiply generally, then coun

Equation of line which perpendicular to the given line, Perpendicular to th...

Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,

Permutation, HOW MANY number laying between 100 and 1000 can be formed with...

HOW MANY number laying between 100 and 1000 can be formed with 0,1,2,3,4,5 and also divisible by 5 with distinct digit

Geometric progression (g.p.), Learning geometric progression ...

Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first t

Geometry, what is sin, cos, and tan?

what is sin, cos, and tan?

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