MHT CET202020 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual
If 2 x²+3 (x²-1 ) (x²+4 ) d x=a | x-1 x+1 |+b ⁻¹ ( x 2 )+C , then
Options
- Aa = 1 2 , ~b = 1 2
- Ba =-1, ~b =1
- Ca = 1 2 , ~b = -1 2
- Da =1, ~b =-1
Correct answer
A. a = 1 2 , ~b = 1 2
Step-by-step solution
Let aligned I &= 2 x²+3 (x²-1 ) (x²+4 ) d x= [ 1 x²-1 + 1 x²+4 ] d x I &= 1 2(1) | x-1 x+1 |+ 1 2 ⁻¹ x 2 +C aligned Comparing with given data, we get a= 1 2 , b= 1 2