Integral of $$$\frac{1}{x - 20}$$$ with respect to $$$e$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{x - 20}$$$ with respect to $$$e$$$, with steps shown.

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Your Input

Find $$$\int \frac{1}{x - 20}\, de$$$.

Solution

Apply the constant rule $$$\int c\, de = c e$$$ with $$$c=\frac{1}{x - 20}$$$:

$${\color{red}{\int{\frac{1}{x - 20} d e}}} = {\color{red}{\frac{e}{x - 20}}}$$

Therefore,

$$\int{\frac{1}{x - 20} d e} = \frac{e}{x - 20}$$

Add the constant of integration:

$$\int{\frac{1}{x - 20} d e} = \frac{e}{x - 20}+C$$

Answer

$$$\int \frac{1}{x - 20}\, de = \frac{e}{x - 20} + C$$$A


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