What is the integral of e^x+9/x-4 ?

The integral of e^x+9/x-4 is e^x+9ln|x|-4x+C

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integral of e^x+9/x-4

\int e^{x} + \frac{9}{x} - 4 d x

e^{x} + 9 ln ∣ x ∣ - 4 x + C

Solution steps

\int e^{x} + \frac{9}{x} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{x} d x + \int \frac{9}{x} d x - \int 4 d x

\int e^{x} d x = e^{x}

\int \frac{9}{x} d x = 9 ln ∣ x ∣

\int 4 d x = 4 x

= e^{x} + 9 ln ∣ x ∣ - 4 x

Add a constant to the solution

= e^{x} + 9 ln ∣ x ∣ - 4 x + C

What is the integral of e^x+9/x-4 ?
The integral of e^x+9/x-4 is e^x+9ln|x|-4x+C