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please write legibly and provide a step-by-step process on how to find the variable separable by letting v=uz and dv=udz+zdu then integrate (please consider doing a partial fraction expansion if ever it is necessary to obtain the integral

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please write legibly and provide a step-by-step process on how to find the variable separable by letting v=uz and dv=udz+zdu then integrate (please consider doing a partial fraction expansion if ever it is necessary to obtain the integral.)

1. VARIABLE SEPARABLE
2. INTEGRATE