The value of ∫ cosec 6 x dx will be ___________, where c is an arbitrary constant.

Correct Answer is : −15cot5⁡x−23cot3⁡x−cot⁡x+c

\frac{−1}{5}\cot ^{5}⁡x−\frac{2}{3}\cot ^{3}⁡x−\cot ⁡x + c

-sin 7 x - 5 sin 5 x - 3 sin 3 x - sin x + c

cos 5 x + 3 cos 3 x + cos x + c

cos 6 x - 4 cos 4 x + 2 cos 2 x + c

AAI ATC Junior Executive 2018 Shift 2 Paper

Question : 81 of 120

Marks: +1, -0

The value of ∫ cosec⁶ x dx will be ___________, where c is an arbitrary constant.

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