de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 1 of e^{-x}+3x^2

Lösung

\int_{0}^{1} e^{- x} + 3 x^{2} d x

Lösung

- \frac{1}{e} + 2

+1

Dezimale

1.63212 \dots

Schritte zur Lösung

\int_{0}^{1} e^{- x} + 3 x^{2} d x

Wende die Summenregel an:

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

= \int_{0}^{1} e^{- x} d x + \int_{0}^{1} 3 x^{2} d x

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

\int_{0}^{1} 3 x^{2} d x = 1

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

Vereinfache

= - \frac{1}{e} + 2

Graph

Beliebte Beispiele

limit as x approaches infinity+of 1/(x!)

x \to \infty + lim (\frac{1}{x !})

integral of cos^7(x)sin(x)

\int cos^{7} (x) sin (x) d x

derivative 3x^{-3}(x^4-3x^3+10x-9)

d er i v a t i v e 3 x^{- 3} (x^{4} - 3 x^{3} + 10 x - 9)

integral of 1/(x^2+z^2)

\int \frac{1}{x ^{2} + z ^{2}} d x

integral of (9e^x)/(e^x-1)

\int \frac{9 e ^{x}}{e ^{x} - 1} d x