JEE Main 202429 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002limx→π2(1(x−π2)2∫x3(π2)3cos(t13)dt)\mathop {\lim }\limits_{x \to {\pi \over 2}} \left( {{1 \over {{{\left( {x - {\pi \over 2}} \right)}^2}}}\int\limits_{{x^3}}^{{{\left( {{\pi \over 2}} \right)}^3}} {\cos \left( {{t^{{1 \over 3}}}} \right)dt} } \right)x→2πlim(x−2π)21x3∫(2π)3cos(t31)dt is equal toAOption A. 3π24\frac{3 \pi^2}{4}43π2BOption B. 3π28\frac{3 \pi^2}{8}83π2COption C. 3π4\frac{3 \pi}{4}43πDOption D. 3π8\frac{3 \pi}{8}83πCheckSkip · show solution
