JEE Main 202126 Aug, Evening shiftMathematicsEasyIntegral Calculus369× since 2002The value of ∫−π2π2(1+sin2x1+πsinx) dx\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}}} \right)} \,dx−2π∫2π(1+πsinx1+sin2x)dx isAOption A. π2{\pi \over 2}2πBOption B. 5π4{{5\pi } \over 4}45πCOption C. 3π4{{3\pi } \over 4}43πDOption D. 3π2{{3\pi } \over 2}23πCheckSkip · show solution
