JEE Main 202315 Apr, Morning shiftMathematicsHardIntegral Calculus369× since 2002If ∫011(5+2x−2x2)(1+e(2−4x))dx=1αloge(α+1β),α,β>0\int\limits_{0}^{1} \frac{1}{\left(5+2 x-2 x^{2}\right)\left(1+e^{(2-4 x)}\right)} d x=\frac{1}{\alpha} \log _{e}\left(\frac{\alpha+1}{\beta}\right), \alpha, \beta>00∫1(5+2x−2x2)(1+e(2−4x))1dx=α1loge(βα+1),α,β>0, then α4−β4\alpha^{4}-\beta^{4}α4−β4 is equal to :AOption A. -21BOption B. 21COption C. 19DOption D. 0CheckSkip · show solution
