JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{0}^{\frac{\pi}{2}} \ln |\tan x+\cot x| d x=\lambda \ln 2

, then

\lambda

equals

View answer and explanation

Correct option: B

\pi

Option B (

\pi

) is correct because the integral simplifies to

\pi \ln 2

after using trigonometric identities and properties of logarithms, thus

\lambda = \pi

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