Which of the following statements is correct for the function g(\alpha) for \alpha \in R, such that g(\alpha)=\int_{\pi \/ 6}^{\pi \/ 3} {\sin ^{\alpha} x}/{\cos ^{\alpha} x+\sin ^{\alpha} x} d x [17 Mar 2021 Shift 1]

Correct Answer is : g(α) is an even function

g(\alpha) is a strictly increasing function

g(\alpha) has an inflection point at \alpha=-\frac{1}{2}

g(\alpha) is a strictly decreasing function

Definite Integrals Part 2

Section: Mathematics

Question : 90 of 100

Marks: +1, -0

Which of the following statements is correct for the function g(α) for α∈R, such that g(α)=

π∕3

∫

π∕6

‌

sinαx

cosαx+sinαx

[17 Mar 2021 Shift 1]

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