Evaluate ∫(1 + cosx) / (1 − cosx) dx | Full Simplified Solution Using Trigonometric Identities #jee
2:10
YouTubeTrigonometry&Calculus
Evaluate ∫(1 + cosx) / (1 − cosx) dx | Full Simplified Solution Using Trigonometric Identities #jee
Evaluate the integral (1 + cos x) / (1 − cos x) step by step using trigonometric identities. We use the half-angle identities: 1 − cos x = 2 sin²(x/2) 1 + cos x = 2 cos²(x/2) So the integrand becomes: cot²(x/2) = csc²(x/2) − 1 Then we integrate using the substitution t = x/2. Final answer: −2 cot(x/2) − x + C This video is useful ...
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