Did you find A and B where ?
I can't seem to figure out this partial fractions problem:
My work so far has involved factoring out a 3x in the denominator so the problem then looks like , and then multiplying through using the cover up rule, but so far that method hasn't resulted in the answer:
I'm not sure what rule your referring to. I would just decompose the function.
Are you familiar with this method?
So now you solve the system of equations:
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Substitute those values for A and B into the integral, and it's pretty easy from there.
I suggest skeeter's method as you don't need to solve partial fractions:
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I've substituted the values of A and B you found into the expression
Note that you integrate that second term you will need to divide by -3 because of the coefficient on the x
where k is a constant