Questions

$\int \frac{\sec^{2} x - 7}{\sin^{7} x} d x =$

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tan⁡x(sin⁡x)7+C

cos⁡xsin7⁡x+C

sin⁡xcos7⁡x+C

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detailed solution

Correct option is A

I=∫sec2⁡x−7sin7⁡xdx=∫sec2⁡xsin7⁡xdx−7∫dxsin7⁡x=tan⁡xsin7⁡x+7∫tan⁡xcos⁡xsin8⁡xdx−7∫dxsin7⁡x=tan⁡xsin7⁡x+C

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