H2 maths integration

Z een SG

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

ViewtyKU990 SG

well idk but you may try this

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

MaNyZeR SG

Fuck maths!!!

Z een SG

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

ViewtyKU990 SG

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 SG

No advertising

HyuugaNeji SG

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

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

Gcngo SG

use t = tan x

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

eagle SG

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 SG

use t = tan x

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

t-formula is not in H2 syllabus

wee_ws SG

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 SG

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 SG

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 SG

thank you :)