Explain why the definite integral results in an antiderivative that is a difference…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Explain why the definite integral ∫141(x−1)(x+2) dx\displaystyle\int_{1}^{4} \frac{1}{(x-1)(x+2)}\,dx results in an antiderivative that is a difference of natural logarithms rather than an algebraic or trigonometric expression.

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