Question:

Let ∫ sin9 π‘₯ cos(11π‘₯) 𝑑π‘₯ = cos(10π‘₯) 𝑓(π‘₯) + 𝑐 , where 𝑐 is a constant. If 𝑓 β€²β€² (\(\frac{\pi}{4}\)) βˆ’ π‘˜π‘“ β€²(\(\frac{ \pi}{4}\)) = 0, then π‘˜ is equal to ______ (in integer)

Updated On: Oct 1, 2024
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Correct Answer: 8

Solution and Explanation

The correct answer is: 8
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