Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade:

                        

integrate the following integral of logx\x^2.dx on (0,infinity)

integrate the following 
 
integral of logx\x^2.dx   on (0,infinity)

8 months ago

Answers : (2)

Arun
25768 Points
							
Dear student
 
log x /x² dx
Let log x = t then x = e^t
 
Also 1/x dx = dt
 
Hence it will be
 
t e^-t dt
 
Now you can do it by product rule
8 months ago
Vikas TU
14149 Points
							

Since you should be doing such question once you know the concept, I will skip the solution here and just give the steps.

Put logx = t

Therefore dx/x = dt and x = exp(t) Limits will change accordingly.

Now substitute all of the above in the integral.

Use method of integration by parts. (that is the u,v integral method)

You will get the integral's answer in terms of t, in which you substitute the new limits and get the answer.

Note : Answer is 1.

8 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts
 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details