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UPSC NDA I 2024 Mathematics Paper

Consider the following for the next two (02) items that follow :

Given that

\int\; \frac{3 \cos x + 4 \sin x}{2 \cos x + 5 \sin x} dx=

\; \frac{\alpha x}{29} + \; \frac{\beta}{29} \ln |2 \cos x + 5 \sin x| + c

Question : 81 of 120

Marks: +1, -0

What is the value of

\alpha

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