en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2e^x+1

Solution

\int 2 e^{x} + 1 d x

Solution

2 e^{x} + x + C

Solution steps

\int 2 e^{x} + 1 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 2 e^{x} d x + \int 1 d x

\int 2 e^{x} d x = 2 e^{x}

\int 1 d x = x

= 2 e^{x} + x

Add a constant to the solution

= 2 e^{x} + x + C

Popular Examples

integral of (tan^2(x)+cot^2(x))

\int (tan^{2} (x) + cot^{2} (x)) d x

integral of sin(3/2)θcos(3/2)θ

\int sin (\frac{3}{2}) θ cos (\frac{3}{2}) θ d θ

integral of (x^2+2)/(x(x+2)^2)

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

integral of 2/((sqrt(3x+2)))

\int \frac{2}{( 3 x + 2 )} d x

integral of (2sec(x))/(2tan(x)+3sec(x))

\int \frac{2 sec ( x )}{2 tan ( x ) + 3 sec ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of 2e^x+1 ?
The integral of 2e^x+1 is 2e^x+x+C