Evaluate `int^t _0 A sin omega dt ` where A and omega are constants.

Explanation

To evaluate the integral \( \int_0^t A \sin(\omega t) \, dt \), where \( A \) and \( \omega \) are constants, we can follow these steps:

### Step 1: Set up the integral
We start with the integral:
\[ \int_0^t A \sin(\omega t) \, dt \]

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