Battery light comes on flickers with seat belt light

have the charge rate checked , should be between 13 and 14 volts

I would suggest you have the seat belt latched sensor checked, it may be making a poor connection.

You have a defective alternator, that what is most likely causing the flickering light. A voltage output test will not reveal this.

Yo Randy, you have a faulty ground connection under the dash. You'll find the white wire, ground wire, bolted the the inside firewall under the dash, possibly on both sides, and one or both need to be cleaned and/or tightened.

To reset the SRS light on an Acura Integra, pull down the SRS service connector. Unplug this connector so you have access to jump the harness. Start with the ignition OFF. Jump the SRS plug. Turn the ignition ON. The SRS light will come on then off.------------------------------------------------------------------------------
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It could possibility be bad or loose connection on the alternator or battery wiring, or a loose alternator belt. All those lights come on when the battery isn't getting a charge, so the alternator is where I'd start looking.

It is caused usually when the arternator is going bad

Sounds like your belt to the generator or alternator is slipping on acceleration.Turn off eng an ck tension by moving belt up and down at point between alt and pully. should not move more than 1 inch. The other lites may be due to low battery level.

Sounds like your belt is slipping, check your belt.You need to check alternator, it may have a lazy regulator.

More likely to be a sensor - check gsf (google it - german, sweedish, french car parts) for the seat belt sensor