JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Understanding +4 | -1

A_n=\int\limits_{0}^{\pi / 2} \frac{\sin (2 n-1) x}{\sin x} d x

then value of

\frac{A_{1000}}{A_{10}}

is -

View answer and explanation

Correct option: A

Option D (Never less than

n

) is correct because, by the AM-GM inequality, the sum of positive numbers whose product is 1 is always greater than or equal to the number of terms.

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