de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-1 to 1 of y^2-2-e^y

Lösung

\int_{- 1}^{1} y^{2} - 2 - e^{y} d y

Lösung

- e + \frac{1}{e} - \frac{10}{3}

+1

Dezimale

- 5.68373 \dots

Schritte zur Lösung

\int_{- 1}^{1} y^{2} - 2 - e^{y} d y

Wende die Summenregel an:

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

= \int_{- 1}^{1} y^{2} d y - \int_{- 1}^{1} 2 d y - \int_{- 1}^{1} e^{y} d y

\int_{- 1}^{1} y^{2} d y = \frac{2}{3}

\int_{- 1}^{1} 2 d y = 4

\int_{- 1}^{1} e^{y} d y = e - \frac{1}{e}

= \frac{2}{3} - 4 - (e - \frac{1}{e})

Vereinfache

\frac{2}{3} - 4 - (e - \frac{1}{e}) : - e + \frac{1}{e} - \frac{10}{3}

= - e + \frac{1}{e} - \frac{10}{3}

Graph

Beliebte Beispiele

derivative of x^3(2x+1^3)

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

limit as x approaches 1 of (x+1)/(x^2-1)

x \to 1 lim (\frac{x + 1}{x ^{2} - 1})

integral from 0 to (3pi)/2 of 6|sin(x)|

\int_{0}^{\frac{3 π}{2}} 6 ∣ sin (x) ∣ d x

integral of cos^7(1/3)x

\int cos^{7} (\frac{1}{3}) x d x

integral of 12x^2-6x

\int 12 x^{2} - 6 x d x