JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{\sec ^2 x d x}{\sqrt{\tan ^2 x+4}}=

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Correct option: A

\log \left[\tan x+\sqrt{\tan ^2 x+4}\right]+c

Option A (

\log \left[\tan x+\sqrt{\tan ^2 x+4}\right]+c

) is correct because it is the result of a u-substitution and applying the standard integral of

\frac{1}{\sqrt{t^2+a^2}}

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