Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off


Q: ƒ’(x)=ƒ(x)+ -1010 ƒ(x) dx ,where ƒ(x) is a strictly increasing function then

A. ƒ’(x)=ƒ(x) if limx→ -∞ ƒ(x)=0

B.ƒ’(x) - ƒ(x)=0

C.ƒ’’(x) - ƒ(x)=0

D.ƒ’(x)=ƒ(x) if limx→ ∞ ƒ(x)=0

6 years ago


Answers : (1)


Dear Tapacranjan

ƒ’(x)=ƒ(x)+ -1010 ƒ(x) dx

let C= -1010 ƒ(x) dx     because it is a constant

so ƒ’(x)=ƒ(x)+ C

   dy/dx -y =C

solve this differential equation

IF =e-∫dx =e-x

so ye-x =Ce-xdx

ye-x =-Ce-x  +C1

y = -C +C1ex

f(x) =-C +C1ex   ..............1


C= -1010 ƒ(x) dx

C= -1010 {-C +C1ex} dx

C= -20C +C1 (e10 -e-10)

C = C1 (e10 -e-10)/21


f(x)=-C  +21Cex/(e10 -e-10)

let limx→ -∞ ƒ(x)=0

0= -C +0


so f(x)=f'(x)

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
Askiitians Experts

6 years ago

Post Your Answer

Other Related Questions on Integral Calculus

Please give me an answer for this question where I cannot integrate
Hi You can break it at all the integral points and then you can integrated this like shown in this image
Nishant Vora 2 months ago
sir moje illustration 1 samaj nhi a rha pls hlp me AOI ke basic concept bale page pr
@ vishal kindly tell me the full ques or the concept name in which u have problem . be little specific , i am not able to understand your query . else ,u can also attach the perticular ques ...
Umakant biswal 10 days ago
what is integration? and what is the real life applications of an integration?
Dear Sudharshan Integration is the one symboll used in solving problems . Integration is opposite to differentiation. It is usefull in mathematics, physics and chemistry
Prabhakar ch 9 months ago
DEAR SUDARSHAN, Integration is the act of bringing together smaller components into a single system that functions as one. Integration is used to compute such things as the areas and...
naresh raju 9 months ago
dear sudarshan..... Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things. But it is easiest to...
mohan 9 months ago
i am facing problems in solving questions from topic quadratic equations .from which book should i study the topic?
Hii You can go for Arihant books or TMH for practising questions of Quadratic eqns
Sourabh Singh 2 months ago
@ tanbro what u can do is frst brush up your besics from ncert , then move ahead , after that take math by m l khanna and problems in maths by a dasgupta ,, they have explained each and...
Umakant biswal 2 months ago
Arihant book on algebra will give good variety of question similar to what is asked in JEE . The book also have sufficient theory to get you started. Higher algebra by hall and knight is...
Ajay 2 months ago
Where can I get the solution of problem plus in IIT mathematics A Days Gupta ? I am stuck in some few questions so need a solution for that
@nikhil solution book are avaliable separately for a das gupta books in the market , its of bharat publication . also , if u have questions , then u can directly post it here , and i will...
Umakant biswal 15 days ago
y= h0 + h1x1 + h2x2 x1= 2, x2= 1, y=250 Find h0,h1, h2
Priya, here one equation and three unknown. So it has infinte number of solution. if the value of h1=1,2,3,-------- then corresponding chose the value of h0 and h2.
Kumar one month ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 400 off

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details