- #1

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## Homework Statement

1/ (x+8)(x^2+16)

Find the integral

## Homework Equations

I keep getting this question wrong. Can someone check my steps?

## The Attempt at a Solution

I set it up as

A/(x+8) + (Bx+C)/(x^2+16)

So I did, A(x^2+16)+ (Bx+C)(x+8)

and I did that and got

A+b=0

8B+C=0

16A+8C=1

By algebra, I solved for A, B, and C and got

A= 1/10

B= -1/10

C= 4/5

So I got 1/10ln(x+8) - 1/10∫x/(x^2+16) + 4/5∫1/(x^2+16)

and solving that out, I get

**1/10ln(x+8) -1/20ln(x^2+16) + 1/5arctan(x/4)**

which is not correct.

Where did I go wrong?

Thanks in advance.