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Evaluate the integral: ∫(3 + 4x - x2)/((x + 2)(x - 1)) dx

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Firstly we have to simplify numerator,

When, the denominator is factorized, therefore let us separate the fraction by partial

We have to solve for A and B. Pick the value of x which will cancel each variable.

On putting x = 0 in the above equation

Now, we put the value of A and B back into partial fraction

(i) On replacing this as the integrand.

The absolute value of sign account for the domain of the natural log function (x > 0).

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