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 (9x^2+5z+4xy)

Lösung

\int_{- 1}^{1} (9 x^{2} + 5 z + 4 x y) d z

Lösung

18 x^{2} + 8 x y

Schritte zur Lösung

\int_{- 1}^{1} 9 x^{2} + 5 z + 4 x y d z

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} 5 z d z + \int_{- 1}^{1} 9 x^{2} d z + \int_{- 1}^{1} 4 x y d z

\int_{- 1}^{1} 5 z d z = 0

\int_{- 1}^{1} 9 x^{2} d z = 18 x^{2}

\int_{- 1}^{1} 4 x y d z = 8 x y

= 0 + 18 x^{2} + 8 x y

Vereinfache

= 18 x^{2} + 8 x y

Beliebte Beispiele

integral from 0 to 1 of 3x+1

\int_{0}^{1} 3 x + 1 d x

integral from 1 to e^x of 2ln(x)

\int_{1}^{e^{x}} 2 ln (x) d x

integral from 1 to 6 of 3/t

\int_{1}^{6} \frac{3}{t} d t

integral from 1 to 2 of 2xe^{x^2}

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

integral from 0 to s of 9e^x

\int_{0}^{s} 9 e^{x} d x