Q17

MSQ1 mark

For a real number $a$ , let $I(a)=\int_{-1}^{1}\left(3 x^{2}-a x+1\right) d x$ . 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 $a \in(-\infty,+\infty)$ such that $I(a)$ is a positive real number

(D)

There exists $a \in(-\infty,+\infty)$ such that $I(a)$ is a negative real number

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