If ∫2cos⁡x−sin⁡x+λcos⁡x+sin⁡x−2 dx=Aln⁡∣cos⁡x+sin⁡x−2∣+Bx+c\int \frac{2 \cos x - \sin x + \lambda}{\cos x + \sin x - 2}\,dx = A \ln|\cos x + \sin x - 2| + Bx + c…

Mathematics

Problem

If ∫2cos⁡x−sin⁡x+λcos⁡x+sin⁡x−2 dx=Aln⁡∣cos⁡x+sin⁡x−2∣+Bx+c\int \frac{2 \cos x - \sin x + \lambda}{\cos x + \sin x - 2}\,dx = A \ln|\cos x + \sin x - 2| + Bx + c then A+B+∣λ∣=A + B + |\lambda| =

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