H2 maths integration

• Z een

  30 Oct 09, 21:05

  hi, can anyone tell me how to integrate 1/(1+sin square x) ?Thanks

• ViewtyKU990

  30 Oct 09, 22:17

  well idk but you may try this

  http://www.math.utexas.edu/pipermail/maxima/2007/007444.html

• MaNyZeR

  30 Oct 09, 22:19

  Fuck maths!!!

• Z een

  30 Oct 09, 23:00

  Hey, thanks alot for your effort, ViewtyKU990 :)   I'm dead meat, i don't understand what was written there.

• ViewtyKU990

  30 Oct 09, 23:03

  well i am still stuck on O level maths so idk how to help you lols. 

  thousand of apologies, thats all i can help you with

• Shan2611 niceguy 2a

  30 Oct 09, 23:32

  No advertising

• HyuugaNeji

  31 Oct 09, 00:13

  *yawns* there's something called "integration online"

  go to: http://integrals.wolfram.com/index.jsp

   

  and type in :1/(1 +Sin^2[x])
• Gcngo

  31 Oct 09, 00:40

  use t = tan x

  u will get  tan^-1(root 2 tanx) / 2 + c

• eagle

  31 Oct 09, 12:22

  Originally posted by Z een:

  hi, can anyone tell me how to integrate 1/(1+sin square x) ?Thanks

  Good question there

  Step 1: Multiply sec² x to top and bottom
  integrate sec² x /(sec² x + tan² x )

  Step 2: Change the sec² x in the denominator to 1 + tan² x
  integrate sec² x /(1 + 2tan² x )

  Step 3: Note that sec² x is a differential of tan x
  and integrate sec² x /(1 + (sqrt(2) tan x)² )

   Step 4: Integrate using your MF15 formula sheet

  Ans: tan^-1(sqrt(2) tan x) / sqrt(2) 

   

• eagle

  31 Oct 09, 12:24

  Originally posted by Gcngo:

  use t = tan x

  u will get  tan^-1(root 2 tanx) / 2 + c

  t-formula is not in H2 syllabus

• wee_ws

  31 Oct 09, 16:39

  Originally posted by eagle:

  Good question there

  Step 1: Multiply sec² x to top and bottom
  integrate sec² x /(sec² x + tan² x )

  Step 2: Change the sec² x in the denominator to 1 + tan² x
  integrate sec² x /(1 + 2tan² x )

  Step 3: Note that sec² x is a differential of tan x
  and integrate sec² x /(1 + (sqrt(2) tan x)² )

   Step 4: Integrate using your MF15 formula sheet

  Ans: tan^-1(sqrt(2) tan x) / sqrt(2) 

  Hi eagle,

    Great job! Thanks :)

  Cheers,
  Wen Shih

• wee_ws

  31 Oct 09, 16:41

  Originally posted by Gcngo:

  use t = tan x

  u will get  tan^-1(root 2 tanx) / 2 + c

  Hi,

    The substitution will be given in the paper, according to the syllabus. Thanks!

  Cheers,
  Wen Shih

• eagle

  1 Nov 09, 08:16

  Hi Mr Wee,

   I think Gcngo was referring to t-formula where t is always tan x

  Was part of F maths syllabus last time I believe

• Z een

  2 Nov 09, 00:18

  thank you :)