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## Homework Statement

Calculate the following integral:

[tex]\int_0^a{\left(y-m_1u-c_1\right)\log{\left[u^2+\left(y-m_1u-c_1\right)^2\right]}{\rm d}u}[/tex]

Where "a" is positive Real, "y, c, m" are Reals.

## Homework Equations

[tex]\int{\log{\left[u^2+c^2\right]}{\rm d}u}=u\log{\left[u^2+c^2\right]}-2u+2c\arctan{(u/c)}[/tex]

## The Attempt at a Solution

I'm not quite sure how to tackle this problem. With factors inside the log, that would've helped, but it is not the case. A hint would be appreciated.