The integral of tan(x) can be solved by rewriting the equation as the integral of sin(x)/cos(x) dx, and then using the integration technique called. tan x = – ln|cos x| + C. 1. Proof. Strategy: Make in terms of sin’s and cos’s Use Substitution. (integral). The easiest way to integrate $tan(x)$ is to recall that $tan(x) = frac{sin(x)}{cos(x)}$. Do you see the necessary substitution?Integration of Tan x means finding the integral of the trigonometric function tan x. The integral of tan x with respect to x can be written as ? tan x dx. Here. int tanx dx = -ln(cosx) + C tanx = sinx/cosx int sinx/cosx dx Let u = cosx implies du = -sinxdx therefore -int (du)/u = -ln(u) + C therefore.

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