Computer Sciences > GATE 2026 SET-2 > Engineering Mathematics
For a real number a, let I(a) = ∫-11 (3x2 - a x + 1) dx. Which of the following statements is/are true?
A
The value of I(a) is independent of the value of a
B
The value of I(a) can vary with the value of a
C
There exists a ∈ (-∞, +∞) such that I(a) is a positive real number
D
There exists a ∈ (-∞, +∞) such that I(a) is a negative real number

Correct : a,c

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