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I want to find

[tex]\int_{0}^{2}{|2x-3|}[/tex]

I know the method for separating the integral on two integrals, but I want to try second method.

I know that

[tex]\int_{0}^{2}{|2x-3|}=\frac{|2x-3|(x-3)x}{2x-3}|_{0}^{2}[/tex]

But in this case I got F(2)-F(0)=-2 and on the first method 5/2.

Why the second method does not work?

Thanks in advance.

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# Question about integral and Abs function

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