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The integral of tan^2(x) dx is equal to tan(x) - x + C, where C is the constant of integration.
To evaluate the integral of tan^2(x) dx, we can use the identity 1 + tan^2(x) = sec^2(x). Rearranging this identity, we get tan^2(x) = sec^2(x) - 1. Substituting this into the integral, we get:
∫tan^2(x) dx = ∫(sec^2(x) - 1) dx
Using the integral of sec^2(x), which is tan(x), we can evaluate the integral as follows:
∫tan^2(x) dx = ∫(sec^2(x) - 1) dx
= tan(x) - x + C
Therefore, the integral of tan^2(x) dx is equal to tan(x) - x + C, where C is the constant of integration.
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