JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{\operatorname{cosec}^2 x-2005}{\cos ^{2005} x} d x

is equal to

View answer and explanation

Correct option: D

-\frac{\cot x}{(\cos x)^{2005}}+c

Option C (

y=\cot ^{-1} x

) is correct because it is derived by taking the limit as h approaches 0 and solving for y.

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