UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :
Given that ∫‌
3‌cos‌x+4sin‌x
2‌cos‌x+5sin‌x
‌dx
=

‌
αx
29
+‌
β
29
‌ln
|2‌cos‌x+5sin‌x
|+c
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Question : 81 of 120
 
Marks: +1, -0
What is the value of α ?
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