Question: 1 (6ac3 + 2x2 - 46x - 12 Consider the indefinite integral , dx x2 - 9 Then the integrand decomposes into the form C

 1 (6ac3 + 2x2 - 46x - 12 Consider the indefiniteintegral , dx x2 - 9 Then the integrand decomposes into theform C d ax + b+ + x - 3 x +3 where a = b = C= d= Integrating term by term,we obtain that (6x + 2x - 46x - 12 , da

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= 2 2 - 9 + CEvaluate. - 12 dt = (Don'tforget to include the constant of t2 - 7t + 10 antidifferentiationc)Evaluate. 12x - 55 da = (Don't forget to include the constantof x2 - 9x + 20 antidifferentiation c)Evaluate. 17x - 19 dax= (Use c for the constant of antidifferentiation) ( ac + 5)

(6ac3 + 2x2 - 46x - 12 Consider the indefinite integral , dx x2 - 9 Then the integrand decomposes into the form C d ax + b+ + x - 3 x + 3 where a = b = C= d= Integrating term by term, we obtain that (6x + 2x - 46x - 12 , da = 2 2 - 9 + CEvaluate. - 12 dt = (Don't forget to include the constant of t2 - 7t + 10 antidifferentiation c)Evaluate. 12x - 55 da = (Don't forget to include the constant of x2 - 9x + 20 antidifferentiation c)Evaluate. 17x - 19 dax = (Use c for the constant of antidifferentiation) ( ac + 5) (202 + 1)74x The partial fraction decomposition of f(z) g(a) can be written in the form of + 8x2 - 10x + 3 2x - 1 4x - 3' where f ( ac) = g(x) =

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