The integral ∫sec^2(x) dx is a basic integration problem. We can use the fact that sec^2(x) is the derivative of tan(x) to find its anti-derivative. Therefore, we can simply apply the reverse power rule, which says that if ∫x^n dx = (1/(n+1)) x^(n+1) + C, where C is the constant of integration, then ∫sec^2(x) dx = tan(x) + C.
Hence, the solution to the given integral is ∫sec^2(x) dx = tan(x) + C.
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