# Expanding the Integration problem.

## 1 answer

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This is just middle school algebra.

$\frac{1}{b-a} \left[ -\dfrac{1}{2}(a + b){\color{red}{(b^2 - a^2)}} + \dfrac{1}{4}(b+ a)^2(b-a)\right] \equiv \frac{1}{b-a} \left[ -\dfrac{1}{2}(a + b){\color{red}{(a + b)(b - a)}} + \dfrac{1}{4}(b+ a)^2(b-a)\right] \equiv \frac{1}{b-a} \left[ -\dfrac{1}{2}{\color{limegreen}{(a + b)^2(b - a)}} + \dfrac{1}{4}{\color{limegreen}{(a + b)^2(b - a)}} \right]$

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