To evaluate int frac{sec^2 x}{(1 + tan x)(2 + | vedclass

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(C) Let $I = \int \frac{\sec^2 x}{(1 + 	an x)(2 + 	an x)} \, dx$. To simplify the integral,we use the substitution $	an x = t$. Differentiating bot

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$	an x = t$

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(C) Let $I = \int \frac{\sec^2 x}{(1 + 	an x)(2 + 	an x)} \, dx$. To simplify the integral,we use the substitution $	an x = t$. Differentiating both sides with respect to $x$,we get $\sec^2 x \, dx = dt$. Substituting these into the integral,we get $I = \int \frac{dt}{(1 + t)(2 + t)}$. This is a standard form that can be solved using partial fractions. Thus,the most suitable substitution is $	an x = t$.

To evaluate $\int \frac{\sec^2 x}{(1 + \tan x)(2 + \tan x)} \, dx$,the most suitable substitution is

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