Question: 5. Suppose that a = a + ib, where a, b R are fixed. By integrating the function eat over an interval [0, T]

5. Suppose that a = a + ib, where a, b R

5. Suppose that a = a + ib, where a, b R are fixed. By integrating the function eat over an interval [0, T] and equating real parts, show that (a + b?) | eat cos bt dt = ea" (a cos bT + b sin bT) a.

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