Question: Suppose that you want to evaluate the integral e5x(4cos 7x + 6sin 7x) dx And you know from experience that the result will be

Suppose that you want to evaluate the integral
∫ e5x(4cos 7x + 6sin 7x) dx
And you know from experience that the result will be of the form e5x(C1 cos 7x + C2 sin 7x) + C3. Compute C1 and C2 by differentiating the result and setting it equal to the integrand.

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