Solve the following Integrals ∫$$cos3$$⁡θ$$1$$−$$sin$$⁡θdθ

Correct option is 4sin⁡θ−cos2⁡θ2+C

Questions

Solve the following Integrals $\int \frac{\cos^{3} θ}{1 - \sin θ} d θ$

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sin⁡θ-sin2⁡θ2+C

sin⁡θ+cos2⁡θ2+C

cos⁡θ+cos2⁡θ2+C

sin⁡θ−cos2⁡θ2+C

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detailed solution

Correct option is D

∫1−sin2⁡θ1−sin⁡θcos⁡θdθ put sin⁡θ=t;cos⁡dθ=dt∫1−t21−tdt=∫(1+t)dt=t+t22+c=sin⁡θ+sin2⁡θ2+c

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Solve the following Integrals ∫cos3⁡θ1−sin⁡θdθ

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Solve the following Integrals $\int \frac{\cos^{3} θ}{1 - \sin θ} d θ$