JEE PYQ: Definite Integration Question 43
Question 43 - 2019 (12 Apr Shift 1)
If $\int_0^{\pi/2} \dfrac{\cot x}{\cot x + \csc x},dx = m(\pi + n)$, then $m \cdot n$ is equal to:
(1) $-\dfrac{1}{2}$
(2) $1$
(3) $\dfrac{1}{2}$
(4) $-1$
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If $\int_0^{\pi/2} \dfrac{\cot x}{\cot x + \csc x},dx = m(\pi + n)$, then $m \cdot n$ is equal to:
(1) $-\dfrac{1}{2}$
(2) $1$
(3) $\dfrac{1}{2}$
(4) $-1$