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

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

Determine the length of the longer base, The longer base of a trapezoid is ...

The longer base of a trapezoid is 3 times the shorter base. The nonparallel sides are congruent. The nonparallel side is 5 cm more that the shorter base. The perimeter of the trape

MATH HELP: URGENT, the andersons are buying a new home and need to fence th...

the andersons are buying a new home and need to fence their yard. the yard is 40 ft by 80 ft. each fencing section is 8ft. how many sections will they need?how many posts will they

Adding fractions with different denominators, Q. How to Add Fractions with ...

Q. How to Add Fractions with Different Denominators? Ans. Here's the main thing to remember about adding fractions with different denominators-you can't! Fractions with di

Demerits and merits -the arithmetic mean or a.m, Demerits and merits of the...

Demerits and merits of the measures of central tendency The arithmetic mean or a.m Merits i.  It employs all the observations given ii. This is a very useful

Permutation and combination, howmany numbers made by digit 0,1,2,3,5,7,9 bu...

howmany numbers made by digit 0,1,2,3,5,7,9 but any digit isnot repeted

Finding absolute extrema of f(x) on [a, Finding Absolute Extrema of f(x) on...

Finding Absolute Extrema of f(x) on [a,b] 0.   Confirm that the function is continuous on the interval [a,b]. 1.  Determine all critical points of f(x) which are in the inte

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