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`int (x^2 - 5x + 16)/((2x + 1)(x - 2)^2) dx` Evaluate the integral

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Let's first express the integrand as sum of proper rational expressions by applying partial fraction decomposition,






Now equate the coefficients of the polynomial in the numerator on the both sides,

`A+2B=1` --------------------------------(1)

`-4A-3B+2C=-5`  -----------------(2)

`4A-2B+C=16`  ----------------------(3)

Now let's solve the above three equations by the...

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