MathematicsEasy64×since 2004Q4041∫dxcosx−sinx\int {{{dx} \over {\cos x - \sin x}}}∫cosx−sinxdx is equal toA12log∣tan(x2+3π8)∣+C{1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} + {{3\pi } \over 8}} \right)} \right| + C21logtan(2x+83π)+CB12log∣cot(x2)∣+C{1 \over {\sqrt 2 }}\log \left| {\cot \left( {{x \over 2}} \right)} \right| + C21logcot(2x)+CC12log∣tan(x2−3π8)∣+C{1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} - {{3\pi } \over 8}} \right)} \right| + C21logtan(2x−83π)+CD 12log∣tan(x2−π8)∣+C\,{1 \over {\sqrt 2 }}\log \left| {\tan \left( {{x \over 2} - {\pi \over 8}} \right)} \right| + C21logtan(2x−8π)+CCheck answerSkip