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Question

If f(x)=∣ ∣12x3x23a27139∣ ∣ and 30f(x)dx=0, then a is equal to

A
3
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B
6
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C
9
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D
any real number
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Solution

The correct option is D any real number
30f(x)dx=∣ ∣ ∣30dx302xdx303x2dx3a27139∣ ∣ ∣
=∣ ∣39273a27139∣ ∣
30f(x)dx=0
a any real number.

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