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$\int (1 - \cos x) {cosec}^{2} xdx$ is equal to

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tan⁡x+C

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12tan⁡x2+C

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Correct option is B

∫(1−cos⁡x)cosec2⁡xdx=∫cosec2⁡xdx−∫cosec2⁡xcos⁡xdx=cot⁡x−∫cosec⁡xcot⁡xdx =−cot⁡x+cosec⁡x+C=1−cos⁡xsin⁡x+C =2sin2⁡x22sin⁡x2cos⁡x2+C =tan⁡x2+C

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∫(1−cos⁡x)cosec2⁡xdx is equal to

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$\int (1 - \cos x) {cosec}^{2} xdx$ is equal to