Integral of 1/(1 + cos x) dx

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In this video, we talk about computing the integral of 1/(1 + cos x) dx.

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#Integral #Calculus

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U can also write 1+cosx=2cos²x/2 and u will get tanx/2 as result ☺️

payalrajput

thank you for this quick and simple explanation, I understood the whole process, and concluded that I need to learn trigo replacements. Keep it up!

MrJuliostito

Thank you for the help.. You are a great dude !

yassinyassin

Thanks you sir for the great explanation ❤❤❤

dhruvsharma

I got this problem and made it to where you were at 1:04. Didn't recognize that identity and went through the trouble of u-substituting sin(x) in the right half, only to lose track of my negative sign and get the wrong answer... Anyway, this helped a lot.

xgyra

Such a detailed explanation 👌🏻. Thank you!!

Aishwarya-rf

this is what I've been looking for😭

kenheyres

Hi! Is this the same with (dtheta)/(1+costheta) ?

roowseee

You have explained very well sir .. thank you❤

YOGI_ff

Can you do another way by using this identity of 1 + cosx = 2cos^2(x/2)

Sgth

Thanks bro i understand it. But what if we let (1+cosx)=t and then integrate it become

Buntygaming-yj

Sir one doubt 🧐 why we can not apply cos2x formula 🤔???

reloxsports

I solved this integration by the same method you did, and for the checking, I always pretend this is a definite integral so I can compare my result with the one on internet, which showed that the integral is tgx/2. My question is, if both are right, why cant I integrate from 0 to 1 on the answer you showed on video and with tgx/2 I can? I'm asking cause cscx and ctgx are undefined on x=0, but the tgx no. Great Video

RodrigoSantos-vusl

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