en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4e^x+4

Solution

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

Solution

4 e^{x} + 4 x + C

Solution steps

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

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

\int 4 d x = 4 x

= 4 e^{x} + 4 x

Add a constant to the solution

= 4 e^{x} + 4 x + C

Popular Examples

integral of (x+1)3^{(x+1)^2}

\int (x + 1) 3^{(x + 1)^{2}} d x

integral of 1/(x(x^{10)+1)^2}

\int \frac{1}{x ( x ^{10} + 1 ) ^{2}} d x

integral of (8x^2+7x^{-2})

\int (8 x^{2} + 7 x^{- 2}) d x

integral of (3x+3)^6

\int (3 x + 3)^{6} d x

integral of 4e^x+3

\int 4 e^{x} + 3 d x

Frequently Asked Questions (FAQ)

What is the integral of 4e^x+4 ?
The integral of 4e^x+4 is 4e^x+4x+C