Integral of $$$\frac{x}{- a + b}$$$ with respect to $$$f$$$

The calculator will find the integral/antiderivative of $$$\frac{x}{- a + b}$$$ with respect to $$$f$$$, with steps shown.

Find $$$\int \frac{x}{- a + b}\, df$$$.

Apply the constant rule $$$\int c\, df = c f$$$ with $$$c=\frac{x}{- a + b}$$$:

$${\color{red}{\int{\frac{x}{- a + b} d f}}} = {\color{red}{\frac{f x}{- a + b}}}$$

Therefore,

$$\int{\frac{x}{- a + b} d f} = \frac{f x}{- a + b}$$

Add the constant of integration:

$$\int{\frac{x}{- a + b} d f} = \frac{f x}{- a + b}+C$$

$$$\int \frac{x}{- a + b}\, df = \frac{f x}{- a + b} + C$$$A

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