en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 0 of 2x-e^x

Solution

\int_{- 1}^{0} 2 x - e^{x} d x

Solution

\frac{1}{e} - 2

+1

Decimal Notation

- 1.63212 \dots

Solution steps

\int_{- 1}^{0} 2 x - e^{x} 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_{- 1}^{0} 2 x d x - \int_{- 1}^{0} e^{x} d x

\int_{- 1}^{0} 2 x d x = - 1

\int_{- 1}^{0} e^{x} d x = 1 - \frac{1}{e}

= - 1 - (1 - \frac{1}{e})

Simplify

= \frac{1}{e} - 2

Popular Examples

derivative of t/4 derivative of

\frac{t}{4}

derivative of 5(x^2+7^4(2x))

\frac{d}{d x} (5 (x^{2} + 7)^{4} (2 x))

limit as h approaches 0 of ((1+h)^3-1)/h

h \to 0 lim (\frac{( 1 + h ) ^{3} - 1}{h})

integral of 1/(1+cos(x))

\int \frac{1}{1 + cos ( x )} d x

derivative of 5xsqrt(64-x^2)

\frac{d}{d x} (5 x 64 - x^{2})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of 2x-e^x ?
The integral from-1 to 0 of 2x-e^x is 1/e-2