MathematicsMedium210×since 2002Q3415The value of the definite integral ∫−π4π4dx(1+excosx)(sin4x+cos4x)\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({{\sin }^4}x + {{\cos }^4}x)}}}−4π∫4π(1+excosx)(sin4x+cos4x)dx is equal to :A−π2- {\pi \over 2}−2πBπ22{\pi \over {2\sqrt 2 }}22πC−π4- {\pi \over 4}−4πDπ2{\pi \over {\sqrt 2 }}2πCheck answerSkip