JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Which of the following statements is correct for the function

g(\alpha )

for

\alpha \in R,

such that

g(\alpha ) = \int\limits_{\pi /6}^{\pi /3} {\frac{{{{\sin }^\alpha }x}}{{{{\cos }^\alpha }x + {{\sin }^\alpha }x}}\,} dx

View answer and explanation

Correct option: D

g(\alpha )

is an even function

Option D (

g(\alpha)

is an even function) is correct because the function

g(\alpha)

simplifies to a constant, which is an even function.

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