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Let f(x) = 4x / (4x² + 2). If the sum of the integrals ∫(1/1997) + ∫(2/1997) +... + ∫(1196/1997) equals 499q, what is the value of q?

1. 1
2. 2
3. 3
4. 4

Correct answer: 2

Solution

The value of q is found by evaluating the sum of the integrals ∫(1/1997) + ∫(2/1997) +... + ∫(1196/1997) and using properties of definite integrals and symmetry to arrive at the correct value of 2.

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