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Evaluate the integral of 1 / ((x2 – 4x + 4)(x2 – 4x + 5))

Compute the following integral.

In the denominator we have

Then we use partial fractions,

This gives us the equation

We evaluate at to obtain a value for ,

Then using this value of and evaluating at , and to obtain

Solving this system of equations we obtain

Therefore, we have

One comment

1. Anonymous says:

help \int (3x+2)/((x^(2)+4+4)(x^(2)-1))