This next problem is rather strange and it once again involves quadratic factors and I am not able to get the correct answer.(adsbygoogle = window.adsbygoogle || []).push({});

The problem is:

[tex]\int \frac{7x^3-3x^2+73x+53}{(x-1)^2(x^2+25)}dx[/tex]

Step I:

[tex]7x^3-3x^2+73x+53 = A(x-1)(x^2+25)+B(x^2+25)+(Cx+D)(x-1)^2[/tex]

I easily get the value of B by plugging in 1 for x and it turns out to be 5. After that I organize all of the degrees and the right side and use the method of equating coefficients, but that turns out to be an extremely tedious monster which leads me to the wrong values for coefficients.

Any help/advice would be appreciated.

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# Homework Help: Integration by partial fractions, #2

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