badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

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
Menu
Grade: 12

                        

What is the integration of: logx/((1+logx)^2 ) ? (Type: Class 12th, Indefinite Integrals)

4 years ago

Answers : (2)

Sourabh Singh
IIT Patna
askIITians Faculty
2104 Points
							243-1534_Capture.PNG
						
4 years ago
mycroft holmes
272 Points
							
Setting log x = t, we can rewrite the integral as \int \frac{e^tt}{(1+t)^2} \ dt = \int e^t \left(\frac{1}{1+t} - \frac{1}{(1+t)^2)} \right ) \ dt
 
which by the formula for integration of ex [f(x)+f’(x)] is simply ex f(x)
 
and hence is et/ 1+t i.e. x/(1+log x)
4 years 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

Post Question

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