Question

Evaluate the integral: ç[(6x+7)/(x^(2)-8x+25),x]
for (6x+7)/(x^(2)-8x+25)
the denominator does not have rational factors, so complete squares to get into the form (x^2+a^2) and integrate using atan.
Hints:
1. x^2-8x+25=(x-4)^2+3^2
2. you will need to split the expression into partial fractions, one of which will integrate into atan, and the other into ln.

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