0

Guest

Courses New

if F(x)= integral -1 to x mod(t) dt. then can we say that F'(x)= mod(x) if yes then F(x) must be continous because F'(x) i.e. mod(x) is continous. but this is not so as on expanding the expression of F(x) we see that it is discontinous.. plz solve my problem because in the solution of this question it was written that F(x) is continous as its derivative is continous i.e mod(x)..

if F(x)= integral -1 to x mod(t) dt.

then can we say that F'(x)= mod(x)

if yes then F(x) must be continous because F'(x) i.e. mod(x) is continous. but this is not so as on expanding the expression of F(x) we see that it is discontinous.. plz solve my problem because in the solution of this question it was written that F(x) is continous as its derivative is continous i.e mod(x)..

Grade:12

1 Answers

AskiitianExpert Shine
10 Points
14 years ago

Hi

Even on expanding the expression u get a continuous function , expand it using conditions fr t> 0 & t < 0 seperately and find the expression. Its a simple quadratic form which is continous everywhr. So, i think u did not expand it correctly, pls check it once again.

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More