Question

Integration 5x-5/x^(2)-5x+6 dx

Answer 1

Answer:

x2+5x+6=(x+2)(x+3)

If the numerator is of same or higher degree than the denominator, one has to get the quotient before applying partial fractions. It is not necessary to find out the remainder.Here the quotient is 2.

2x2+3x2+5x+6=2+Ax+2+Bx+3(1)

Multiplying by (x+2)(x+3)

2x2+3=2((x+2)(x+3)+A(x+3)+B(x+2)(2)

Plug in x=−2

A=11

Plug in x=−3

B=−21

Now you can integrate (1)

Answer 2

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Answer♡

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a=11

b=(-21)

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