evaluate-dx1sinxcosx-int-fracdx1-sin-x-cos-x

Question

Evaluate ∫dx1−sin⁡x+cos⁡x \int \frac{dx}{1 - \sin x + \cos x} .

Accepted Answer

−ln⁡∣1−tan⁡(x2)∣+C-\ln\left|1-	an\left(\frac{x}{2}ight)ight|+C

Answer

−ln⁡∣1+tan⁡(x2)∣+C-\ln\left|1+	an\left(\frac{x}{2}ight)ight|+C

Answer

ln⁡∣1−tan⁡(x2)∣+C\ln\left|1-	an\left(\frac{x}{2}ight)ight|+C

Answer

−ln⁡∣1−cos⁡(x2)∣+C-\ln\left|1-\cos\left(\frac{x}{2}\right)\right|+C

Evaluate ∫dx1−sinx+cosx \(\int\) \(\frac{dx}{1 - \sin x + \cos x}\) .