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This paper links recent tax-rate-cut-cum-base-broadening reforms of corporate taxation to the closer integration of international trade. We study the corporate tax structure in a small open economy with heterogeneous firms, in a setting where it is optimal to subsidize capital inputs by granting a tax allowance in excess of the true costs of capital. Economic integration reduces the optimal capital subsidy and drives low-productivity firms from the small country's home market, replacing them with high-productivity exporters from abroad. This endogenous policy response creates a selection effect that increases the average productivity of home firms when trade barriers fall, in addition to the well-known direct effects.