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Popular >

integral of 4e^x-5/x

Solution

\int 4 e^{x} - \frac{5}{x} d x

Solution

4 e^{x} - 5 ln ∣ x ∣ + C

Solution steps

\int 4 e^{x} - \frac{5}{x} 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 4 e^{x} d x - \int \frac{5}{x} d x

\int 4 e^{x} d x = 4 e^{x}

\int \frac{5}{x} d x = 5 ln ∣ x ∣

= 4 e^{x} - 5 ln ∣ x ∣

Add a constant to the solution

= 4 e^{x} - 5 ln ∣ x ∣ + C

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Frequently Asked Questions (FAQ)

What is the integral of 4e^x-5/x ?
The integral of 4e^x-5/x is 4e^x-5ln|x|+C