en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3e^x

Solution

\int 3 e^{x} d x

Solution

3 e^{x} + C

Solution steps

\int 3 e^{x} d x

Take the constant out:

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

= 3 \cdot \int e^{x} d x

Use the common integral:

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

= 3 e^{x}

Add a constant to the solution

= 3 e^{x} + C

Popular Examples

derivative of 9tan^2(7x)derivative of

9 tan^{2} (7 x)

integral of (cos(x))/(sqrt(1+sin^2(x)))

\int \frac{cos ( x )}{1 + sin ^{2} ( x )} d x

limit as x approaches 4-of (x+4)/(2^x-4)

x \to 4 - lim (\frac{x + 4}{2 ^{x} - 4})

integral from 3 to 6 of (x-5)^2

\int_{3}^{6} (x - 5)^{2} d x

4y^{''}-y=0,y(-2)=1,y^'(-2)=-1

4 y^{^{''}} - y = 0, y (- 2) = 1, y^{^{'}} (- 2) = - 1

Frequently Asked Questions (FAQ)

What is the integral of 3e^x ?
The integral of 3e^x is 3e^x+C