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$\int_{0}^{\pi/4} \frac{\sec x}{3\cos x + 4\sin x} dx =$

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For integrals involving trigonometric functions, a common strategy is to divide the numerator and denominator by a power of $\cos x$ or $\sin x$ to convert the expression into terms of $\tan x$ and $\sec^2 x$, which sets up a simple u-substitution.

Updated On: Mar 30, 2026

$\log(7/3)$
$\frac{1}{4}\log(7/3)$
$\frac{1}{4}\log 7$
$\log 7$

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The Correct Option is B

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$\int_{0}^{\pi/4} \frac{\sec x}{3\cos x + 4\sin x} dx =$

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The Correct Option is B

Solution and Explanation

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