COMEDK2020MathematicsIndefinite Integration
3 x^ 2 +1 x²-6 x+8 is equal to
Options
- A49 2(x-4) - 13 2(x-2)
- B3+ 49 2(x-4) - 13 2(x-2)
- C49 2(x-4) + 13 2(x-2)
- D-49 2(x-4) + 13 2(x-2)
Correct answer
B. 3+ 49 2(x-4) - 13 2(x-2)
Step-by-step solution
We have, 3 x²+1 x²-6 x+8 =3+ 18 x-23 x²-6 x+8 =3+ 18 x-23 (x-4)(x-2) Aguin, let 18 x-23 (x-4)(x-2) = A x-4 + B x-2 18 x-23=A(x-2)+B(x-4) Put x=4 , we get 72-23=2 A A= 49 2 Put x=2 , we get gathered 36-23=-2 B B= -13 2 So, 3 x²+1 x²-6 x+8 =3+ 49 2(x-4) - 13 2(x-2) gathered