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Popular Calculus >

integral of 5e^x+4/x

Solution

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

Solution

5 e^{x} + 4 ln ∣ x ∣ + C

Solution steps

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

\int 5 e^{x} d x = 5 e^{x}

\int \frac{4}{x} d x = 4 ln ∣ x ∣

= 5 e^{x} + 4 ln ∣ x ∣

Add a constant to the solution

= 5 e^{x} + 4 ln ∣ x ∣ + C

Graph

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Frequently Asked Questions (FAQ)

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