en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{-1}

Solution

\int e^{- 1}

Solution

\frac{1}{e} x + C

Solution steps

\int e^{- 1} d x

Integral of a constant:

\int a d x = a x

= e^{- 1} x

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{e} x

Add a constant to the solution

= \frac{1}{e} x + C

Popular Examples

derivative of f(x)=(2ln(x))/x derivative of

f (x) = \frac{2 ln ( x )}{x}

(\partial)/(\partial x)(2x(4+y)^{-1})

\frac{\partial}{\partial x} (2 x (4 + y)^{- 1})

derivative of-2(e^xsin(x+cos(x)e^x))

\frac{d}{d x} (- 2 (e^{x} sin (x) + cos (x) e^{x}))

integral of 1/(5+2x^4)(8x^3)

\int \frac{1}{5 + 2 x ^{4}} (8 x^{3}) d x

derivative of 8sin(x-4sqrt(2x))

\frac{d}{d x} (8 sin (x) - 4 2 x)

Frequently Asked Questions (FAQ)

What is the integral of e^{-1} ?
The integral of e^{-1} is 1/e x+C