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UPSC NDA I 2024 Mathematics Paper

Question Numbers: 81-82

Consider the following for the items that follow :

Given that

\int \frac{3 \cos x+4 \sin x}{2 \cos x+5 \sin x} d x=\frac{\alpha x}{29}+\frac{\beta}{29} \ln | 2 \cos x+5 \sin x | +c

Question : 82 of 120

Marks: +1, -0

What is the value of β ?

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