en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ke^x

Solution

\int k e^{x} d x

Solution

k e^{x} + C

Solution steps

\int k e^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

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

= k e^{x}

Add a constant to the solution

= k e^{x} + C

Popular Examples

sum from n=1 to infinity of n*e^{-n^2}

n = 1 \sum \infty n \cdot e^{- n^{2}}

(\partial)/(\partial x)((y+1)^2)

\frac{\partial}{\partial x} ((y + 1)^{2})

f(y)=2sqrt(4-y)

f (y) = 2 4 - y

limit as x approaches 9 of (|9-x|)/(9-x)

x \to 9 lim (\frac{∣ 9 - x ∣}{9 - x})

limit as x approaches infinity of 0.2^x

x \to \infty lim (0. 2^{x})

Frequently Asked Questions (FAQ)

What is the integral of ke^x ?
The integral of ke^x is ke^x+C