JEE Main 2006Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002∫−3π2−π2[(x+π)3+cos2(x+3π)]dx\int\limits_{ - {{3\pi } \over 2}}^{ - {\pi \over 2}} {\left[ {{{\left( {x + \pi } \right)}^3} + {{\cos }^2}\left( {x + 3\pi } \right)} \right]} dx−23π∫−2π[(x+π)3+cos2(x+3π)]dx is equal toAOption A. π432{{{\pi ^4}} \over {32}}32π4BOption B. π432+π2{{{\pi ^4}} \over {32}} + {\pi \over 2}32π4+2πCOption C. π2{\pi \over 2}2πDOption D. π4−1{\pi \over 4} - 14π−1CheckSkip · show solution
