en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x+1

Solution

\int e^{x} + 1 d x

Solution

e^{x} + x + C

Solution steps

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

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

\int 1 d x = x

= e^{x} + x

Add a constant to the solution

= e^{x} + x + C

Popular Examples

integral of x(x^5+3)

\int x (x^{5} + 3) d x

derivative of y=(x^2+8)^2-4x derivative of

y = (x^{2} + 8)^{2} - 4 x

(\partial)/(\partial x)(9csc(6x^4-9x+5))

\frac{\partial}{\partial x} (9 csc (6 x^{4} - 9 x + 5))

implicit (dy)/(dx),e^{x/y}=6x-y implicit derivative

\frac{d y}{d x}, e^{\frac{x}{y}} = 6 x - y

derivative of 8/((1-2x^3))

\frac{d}{d x} (\frac{8}{( 1 - 2 x ) ^{3}})

Frequently Asked Questions (FAQ)

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