Integral of (cos(x)-1)/(cos(x)+1)

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t=tan(x/2): sin(x), cos(x) and dx values 👉    • t = tan(x/2)  (Weierstrass substitution)  

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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Add +1-1 on the numerator
00:17 Write -1-1 as -2
00:34 Split into two integrals
00:55 Rewrite expression
01:10 Substitution: t=tan(x/2)
01:36 Substitute cos(x) and dx
02:21 Rewrite expression
02:45 Simplify expression
03:20 Integrate 1
03:24 Undo substitution: t in terms of x
03:28 Rewrite expression
03:31 Add integration constant +C
03:37 Final answer!
03:44 See more!

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