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Mathematics 9 Online
OpenStudy (anonymous):

cal help pl ...

OpenStudy (anonymous):

\[\int\limits \frac{ dx }{(2+cosx) }\]

OpenStudy (anonymous):

@terenzreignz @UnkleRhaukus @texaschic101

OpenStudy (anonymous):

@whpalmer4

OpenStudy (anonymous):

Substitute \[\tan (x/2) = t\] Then \[\cos x = 1 -t ^{2}/1+t ^{2}\] \[dx = 2 dt/1+t ^{2}\] You will end up with a quadratic. Then integrate.

OpenStudy (anonymous):

weres how did u assume that tanx/2 ....

OpenStudy (anonymous):

OpenStudy (anonymous):

You have the complete solution now.

OpenStudy (anonymous):

yaa but i have not yet got clicked about tanx/2

OpenStudy (shubhamsrg):

2 + cosx = 1 + 2cos^2 (x/2) 1/(1+ 2cos^2 (x/2)) = sec^2 (x/2) / (sec^2 (x/2) + 2) = sec^2 (x/2) / (tan^2 (x/2) + 3) now tan(x/2) = t seems more logical

OpenStudy (anonymous):

u=tan(x/2) was just a substitution to make things easy....in the end you'll see u has been replaced by tan(x/2)..you don't wanna do that, no problem just don't put u=tan(x/2)..it won't make any difference..it'll just make things look messy

OpenStudy (anonymous):

thanks ,.... guys ...

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