If f(x) be a quadratic polynomial such that f(0) = 2, f ¢(0) = -3 and f ²(0) = 4 then is equal to
-3
16/3
0
none of these
As we learnt
Properties of Definite Integration -
If is an odd function of then integral of the function from -a to a is ZERO
- wherein
Check
Odd function
Let f(x) = ax2 + bx + c
\ f ¢(x) = 2ax + b, f ²(x) = 2a
\ 2 = c, -3 = b, 4 = 2a (from the question)
\ f (x) = 2x2 - 3x + 2
\
Option 1)
-3
Option 2)
16/3
Option 3)
0
Option 4)
none of these
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