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Q.

∫cosecxtanxdx=

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a

2cosx+C

b

−2sinx+C

c

2sinx+C

d

2cosx+C

answer is B.

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Detailed Solution

I=∫cos⁡ecxtan⁡xdx=∫cos⁡x(sin⁡x)32dx Let sin⁡x=tcos⁡xdx=dt I=∫t−32dt=t1−321−32+C=−2t+C=−2sin⁡x+C Level of question: Moderate
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