en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 5e^x-2/x

Solution

\int 5 e^{x} - \frac{2}{x} d x

Solution

5 e^{x} - 2 ln ∣ x ∣ + C

Solution steps

\int 5 e^{x} - \frac{2}{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{2}{x} d x

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

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= 5 e^{x} - 2 ln ∣ x ∣

Add a constant to the solution

= 5 e^{x} - 2 ln ∣ x ∣ + C

Graph

Popular Examples

derivative of 3x+2e^x

limit as x approaches 6 of 3

integral of (200)/(x(100+x^4))

(\partial)/(\partial x)(e^xsin(10y+5z))

integral of (3x+4)

Frequently Asked Questions (FAQ)

What is the integral of 5e^x-2/x ?
The integral of 5e^x-2/x is 5e^x-2ln|x|+C