Mht CetIndefinite IntegrationMHT CET 2023 10th May Morning ShiftMCQ+2 / -02023\(\int \frac{d x}{\sin x+\cos x}=\)A\(\sqrt{2} \log \tan \left(x+\frac{\pi}{4}\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.B\(\frac{1}{\sqrt{2}} \log \tan \left(\frac{x}{2}+\frac{\pi}{8}\right)+c\), where c is a constant of integration.C\(\frac{1}{\sqrt{2}} \log \left(\frac{\tan \frac{x}{2}-\sqrt{2}+1}{\tan \frac{x}{2}+\sqrt{2}+1}\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.D\(-\frac{1}{\sqrt{2}} \log \left(\frac{\tan \frac{x}{2}-(\sqrt{2}+1)}{\tan \frac{x}{2}+\sqrt{2}-1}\right)+\mathrm{c}\), where \(\mathrm{c}\) is a constant of integration.Check AnswerClear SelectionReveal AnswerShow Explanation