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: 12th pass

                        

integration(1/(cosx*(sqrt(cos2x))))dx=?

6 years ago

Answers : (1)

Rinkoo Gupta
askIITians Faculty
80 Points
							integral cosx/sqrt(cos2x) dx
=integral cosx/sqrt(1-2sin^2x0 dx
dividing by cos^2x in num.and denom. both,we get
integral sec^2x dx/sqrt(sec^2x-2tan^2x)
=integralsec^2xdx/sqrt(1+tan^2x-2 tan^2x)
=integral sec^2x dx/sqrt(1-tan^2x)
put tanx=t
on diff. w.r.t. x we get sec^2xdx=dt
=integral dt/sqrt(1-t^2)
=arcsin(t)
=arcsin(tanx)

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty
6 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