Indefinite integral of TaNx / (SiNx * SiNx + 1)

∫ tanx/(sin²x + 1) dx= ∫ sinx/[cosx(1 - cos²x + 1)] dx= ∫ sinx/[cosx(2 - cos²x)] dx= ∫ 1/[cosx(cos²x - 2)] d(cosx)= (1/2)∫ [cos²x - (cos²x - 2)]/[cosx(cos²x - 2...

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