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Q.

∫cot3xcosec−8x  dx

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a

sin6x6−sin8x8+C

b

sin6x6+sin8x8+C

c

cos6x6−cos8x8+C

d

cos6x6+cos8x8+C

answer is A.

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Detailed Solution

cosec⁡x=t⇒(cosec⁡xcot⁡x)dx=−dt∫t2−1(−dt)t9=−∫1t7dt+∫1t9dt=16t6−18t8+C
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