en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of e^y+1

Solution

\int e^{y} + 1 d y

Solution

e^{y} + y + C

Solution steps

\int e^{y} + 1 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{y} d y + \int 1 d y

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

\int 1 d y = y

= e^{y} + y

Add a constant to the solution

= e^{y} + y + C

Graph

Popular Examples

integral of 1/(1+sqrt(1+2x))

integral of 4csc^2(2x)cot(2x)

integral of x^3sqrt(2x^4+5)

integral of 2xarcsin(x^2)

integral of (sqrt(arctan(x)))/(x^2+1)

Frequently Asked Questions (FAQ)

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