Question:medium

$\int \frac{3^x(x\log 3 - 1)}{x^2} dx =$

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When an integrand looks complicated, especially if it's a fraction with a squared denominator, check if it matches the result of a standard differentiation rule like the quotient rule or product rule. Recognizing these patterns can turn a difficult integration into a simple reverse differentiation.

Updated On: Mar 30, 2026

$x \cdot 3^x + c$
$\frac{3^x}{x^2} + c$
$x^2 3^x + c$
$\frac{3^x}{x} + c$

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The Correct Option is D

Solution and Explanation

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