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HL Integral Question

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I think this is for an IA, so I won't go into too much details. If you know all the constants (and ω > 0) then this should be just integration by parts twice. It gets tricky if you have to plug in boundary conditions or initial conditions (ie from solving a differential equation) but likely you can just do that after. When I encountered something similar we had an infinite series instead of an indefinite integral but that trick will not work here. Basically for an infinite series you have to use some integral that equals to the Kronecker delta, such as a7OcAMx.png

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