Solved integral of the form ∫e^(αx)cosβxdx

Solved integral of the form ∫e^(αx)cosβxdx

Solving an indefinite integral of the form ∫e^(αx)cosβxdx by the method of integration by parts, where α takes the values ±1,±2,±3,±4,±5...±n, β takes the values 1,2,3,4 ,5...m
An example of solving integrals for α=1, β=1 is considered; α=2, β=3; α=−1, β=2; α=−2, β=3
∫e^(αx)cosβxdx, ∫e^(x)cosxdx, ∫e^(2x)cos3xdx, ∫e^(−x)cos2xdx, ∫e^(−2x)cos3xdx

The solution is in PDF format

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