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Statement - I : The value of the integral ∫_(π/6)^(π/3) dx/(1+√(tan x)) is equal to π/6. Statement - II : ∫_0^a f(x)dx = ∫_0^a f(a + b − x)dx.

1. Statement - I is true; Statement - II is false.
2. Statement - I is false; Statement - II is true.
3. Statement - I is true; Statement - II is true; Statement - II is a correct explanation for Statement - I.
4. Statement - I is true; Statement - II is true; Statement - II is not a correct explanation for Statement - I.

Correct answer: Statement - I is false; Statement - II is true.

Solution

Statement I is false because the integral does not evaluate to π/6, while Statement II is true as it describes a property of definite integrals known as the symmetry property.

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