Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If ( 3 + ) c ^ d = ( A ^3 + B ^2 + C + D + E ) C ^ + F , then

Options

AB=12
BD=0
CB=-12
Dnone of these

Correct answer

C. B=-12

Step-by-step solution

1= (3 -4 ^3 ) e^ d = (A ^3 -B ^2 +C +D +B+E ) e^ ven +F Taking = t I= (3 t-4 t^3 ) e^t d t= (A t^3-B t^2+C t+B+E ) _ f(t) e^t+F aligned & D=0 as f(t) is a polynomial in t & (3 t-4 t^3 ) e^t= (A t^3-B t^2+C t+B+E ) e^t+ (3 At ^2-2 B t+C ) e^t & A=-4 & 3 A=B B=-12 aligned

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