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

Vector functions - three dimensional space, Vector Functions We very f...

Vector Functions We very firstly saw vector functions back while we were looking at the Equation of Lines. In that section we talked about them as we wrote down the equation o

Mathematics Warm-Ups for CCSS, Ask question #Minimum 100 words accepted wha...

Ask question #Minimum 100 words accepted what is a ratio

Boeing Company and Ingredient Branding Strategies, . The Boeing Company ma...

. The Boeing Company makes a number of different types of aircraft for the commercial airline industry, e.g., the 727, 747, 757, 767, and 777 jet models. Is there any way for Boei

Trigonometry, If a+b+c = 3a , then cotB/2 cotC/2 is equal to

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

HELP, A local pizza shop sells large pies for $7 each. If the cost of the o...

A local pizza shop sells large pies for $7 each. If the cost of the order is proportional to the number of pizzas would they charge a delivery charge per pizza or per order ?

Word problem, adison earned $25 mowing her neighbor''s lawn. then she loane...

adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to

Find the laplace transforms of functions, Find the Laplace transforms of th...

Find the Laplace transforms of the specified functions. (a)   f(t) = 6e 5t + e t3 - 9 (b)   g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c)    h(t) = 3sinh(2t) + 3sin(2t)

Quadratic equation modeling profitability, Sam''s sport''s equipment sells ...

Sam''s sport''s equipment sells footballs. They maximized their profitability last year at (6,4) where x represents employees and P(x) represents profitability. Sam noticed that wh

Grade Average, Homework is worth 10% of my grade, quizzes are worth 30%, an...

Homework is worth 10% of my grade, quizzes are worth 30%, and tests are worth 40%. I have 15 grades in the homework section, they''re all 100''s. I have 2 grades in the quiz sectio

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