MathematicsMedium64×since 2004Q3999The value of 2∫sinxdxsin(x−π4)\sqrt 2 \int {{{\sin xdx} \over {\sin \left( {x - {\pi \over 4}} \right)}}}2∫sin(x−4π)sinxdx isA x+log ∣ cos(x−π4) ∣+c\,x + \log \,\left| {\,\cos \left( {x - {\pi \over 4}} \right)\,} \right| + cx+logcos(x−4π)+cB x−log ∣ sin(x−π4) ∣+c\,x - \log \,\left| {\,\sin \left( {x - {\pi \over 4}} \right)\,} \right| + cx−logsin(x−4π)+cC x+log ∣ sin(x−π4) ∣+c\,x + \log \,\left| {\,\sin \left( {x - {\pi \over 4}} \right)\,} \right| + cx+logsin(x−4π)+cD x−log ∣ cos(x−π4) ∣+c\,x - \log \,\left| {\,\cos \left( {x - {\pi \over 4}} \right)\,} \right| + cx−logcos(x−4π)+cCheck answerSkip