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Q.

Evaluate ∫sec2⁡xcosec2⁡xdx

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a

=tan⁡x+cot⁡x+c

b

=-tan⁡x−cot⁡x+c

c

=tan⁡x−cot⁡x+c

d

=-tan⁡x+cot⁡x+c

answer is C.

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Detailed Solution

I=∫sec2⁡xcosec2⁡xdx=∫cos2⁡x+sin2⁡xcos2⁡xsin2⁡xdx=∫sec2⁡x+cosec2⁡xdx=tan⁡x−cot⁡x+c
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Evaluate ∫sec2⁡xcosec2⁡xdx