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A prototype vehicle, the Integrator, is performing a test run, accelerating from 0 to 60 mph. It has a recorded velocity curve given by v ( t ) = 6 t^2 − 4 sin ⁡( 2t ), where t is in seconds and v is in miles per second. If this test run lasted 3 π / 4 seconds, how far did the Integrator travel?

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