A process for recovering acrylic acid which is obtained by catalytic gas phase oxidation of propene, wherein, in an absorption stage (K2), the acrylic acid is absorbed from the reaction mixture from the gas phase oxidation with a first solvent and is drawn off for distillative purification, and a gas mixture from the absorption stage (K2) is passed onward to a condensation stage, wherein, in the condensation stage, the gas mixture is condensed, and a condensed phase of the gas mixture is drawn off as acid water and is subjected to a phase separation operation in a phase separation vessel (B1), comprising the steps of a) feeding the aqueous phase (4*) of the acid water drawn off from the condensation stage that has been obtained in the phase separation vessel (B1) to an extraction stage (K7) in which acrylic acid present in the acid water is extracted with a second solvent , b) feeding the acrylic acid-comprising extract to a stripping column (K8) in which the acrylic acid is removed from the second solvent with cycle gas , wherein the second solvent separated off is fed back again to the extraction stage (K7) after the acrylic acid has been stripped out, c) feeding the acrylic acid-laden cycle gas to a stripping cycle gas scrubber (K5) in which the acrylic acid is removed from the cycle gas with the first solvent stream fed to the stripping cycle gas scrubber (K5) and transferred into the first solvent , and d) feeding a first portion of the acrylic acid-laden first solvent back to the absorption stage (K2) . wherein, in an absorption stage (K2), the acrylic acid is absorbed from the reaction mixture from the gas phase oxidation with a first solvent and is drawn off for distillative purification, and a gas mixture from the absorption stage (K2) is passed onward to a condensation stage, wherein, in the condensation stage, the gas mixture is condensed, and a condensed phase of the gas mixture is drawn off as acid water and is subjected to a phase separation operation in a phase separation vessel (B1), comprising the steps of a) feeding the aqueous phase (4*) of the acid water drawn off from the condensation stage that has been obtained in the phase separation vessel (B1) to an extraction stage (K7) in which acrylic acid present in the acid water is extracted with a second solvent , b) feeding the acrylic acid-comprising extract to a stripping column (K8) in which the acrylic acid is removed from the second solvent with cycle gas , wherein the second solvent separated off is fed back again to the extraction stage (K7) after the acrylic acid has been stripped out, c) feeding the acrylic acid-laden cycle gas to a stripping cycle gas scrubber (K5) in which the acrylic acid is removed from the cycle gas with the first solvent stream fed to the stripping cycle gas scrubber (K5) and transferred into the first solvent , and d) feeding a first portion of the acrylic acid-laden first solvent back to the absorption stage (K2) . a) feeding the aqueous phase (4*) of the acid water drawn off from the condensation stage that has been obtained in the phase separation vessel (B1) to an extraction stage (K7) in which acrylic acid present in the acid water is extracted with a second solvent , b) feeding the acrylic acid-comprising extract to a stripping column (K8) in which the acrylic acid is removed from the second solvent with cycle gas , wherein the second solvent separated off is fed back again to the extraction stage (K7) after the acrylic acid has been stripped out, c) feeding the acrylic acid-laden cycle gas to a stripping cycle gas scrubber (K5) in which the acrylic acid is removed from the cycle gas with the first solvent stream fed to the stripping cycle gas scrubber (K5) and transferred into the first solvent , and d) feeding a first portion of the acrylic acid-laden first solvent back to the absorption stage (K2) . <EOS>