Question

Write out the form of the partial fraction decomposition of the function appearing in the integral:



∫2x−92x2+4x−5,dx∫2x-92x2+4x-5,dx



Determine the numerical values of the coefficients, A and B, where A ≤≤ B.



Adenominator+BdenominatorAdenominator+Bdenominator

Answer 1

we have

by the partial fraction,

....................1)

put x = -5 in equation 1),

put x = 1 in equation 1),

so,

now,