Question:medium

$ \int \frac{dx}{(x+1)\sqrt{4x+3}} $ is equal to

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When an integral contains $\sqrt{linear}$, substitute $linear = t^2$ to remove the radical.

Updated On: Apr 10, 2026

$\tan^{-1}\sqrt{4x+3} + c$
$3 \tan^{-1}\sqrt{4x+3} + c$
$2 \tan^{-1}\sqrt{4x+3} + c$
$4 \tan^{-1}\sqrt{4x+3} + c$

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The Correct Option is C

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\( \int \frac{dx}{(x+1)\sqrt{4x+3}} \) is equal to

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The Correct Option is C

Solution and Explanation

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