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UPSC NDA I 2026 Mathematics Paper

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Question Numbers: 91-92
For the next two (02) items that follow:
Let
∫sin⁡θdθ(2+cos⁡θ)(3+4cos⁡θ)=Aln⁡∣2+cos⁡θ∣+Bln⁡∣3+4cos⁡θ∣\begin{aligned}& \int \frac{\sin \theta d \theta}{(2+\cos \theta)(3+4 \cos \theta)}= \\& \quad A \ln |2+\cos \theta|+B \ln |3+4 \cos \theta|\end{aligned}
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