011-40705070  or  
Call me
Download our Mobile App
Select Board & Class
  • Select Board
  • Select Class
Rima Bareh from St.Anthony's Higher Secondary School, asked a question
Subject: Math , asked on 13/9/12

 help plz !!!

integration of sec x log(sec x + tan x) dx 

Certified by MeritNation Expert

CERTIFIED ANSWER

Mohd Imad From Gems Our Own English High School, added an answer, on 14/9/12
758 helpful votes in Math

Ans : I =  ⌡ secx*log(secx+tanx) dx

Let u=log(secx+tanx)

Differentiate wrt  "x"

du/dx = {1/(secx+tanx)} * { d(secx)/dx + d(tanx)/dx}

du/dx = {1/(secx+tanx)} * { (secx*tanx)+(sec2x)}

du/dx = {1/(secx+tanx)} * { (tanx)+(secx)} * secx

du = secx dx

Therefore: I = ⌡u du

I = (u2/2) + C

I = ( [ log(secx+tanx)]  2/2) + C

If you are satified do give thumbs up.

This conversation is already closed by Expert

  • Was this answer helpful?
  • 7
View More
Start a Conversation
You don't have any friends yet, please add some friends to start chatting
Unable to connect to the internet. Reconnect
friends (Class 8):
{{ item_friends['first_name']}} {{ item_friends['last_name']}}
{{ item_friends['first_name']}} {{ item_friends['last_name']}}
{{ item_friends["first_name"]}} {{ item_friends["last_name"]}} {{ item_friends["subText"] }}
{{ item_friends["notification_counter"]}} 99+
Pending Requests:
{{ item_friends['first_name']}} {{ item_friends['last_name']}}
{{ item_friends['first_name']}} {{ item_friends['last_name']}}
{{ item_friends["first_name"]}} {{ item_friends["last_name"]}} {{ item_friends["school_name"] }}
Suggested Friends:
{{ item_friends['first_name']}} {{ item_friends['last_name']}}
{{ item_friends["first_name"]}} {{ item_friends["last_name"]}} {{ item_friends["school_name"] }}
Friends
{{ item_friend["first_name"]}} {{ item_friend["last_name"]}} {{ item_friend["school_name"] }}
Classmate
{{ item_classmate["first_name"]}} {{ item_classmate["last_name"]}} {{ item_classmate["school_name"] }}
School
{{ item_school["first_name"]}} {{ item_school["last_name"]}} {{ item_school["school_name"] }}
Others
{{ item_others["first_name"]}} {{ item_others["last_name"]}} {{ item_others["school_name"] }}