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 (3x-2)^2

Lösung

\int_{0}^{1} (3 x - 2)^{2} d x

Lösung

1

Schritte zur Lösung

\int_{0}^{1} (3 x - 2)^{2} d x

Multipliziere aus

(3 x - 2)^{2} : 9 x^{2} - 12 x + 4

= \int_{0}^{1} 9 x^{2} - 12 x + 4 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} 9 x^{2} d x - \int_{0}^{1} 12 x d x + \int_{0}^{1} 4 d x

\int_{0}^{1} 9 x^{2} d x = 3

\int_{0}^{1} 12 x d x = 6

\int_{0}^{1} 4 d x = 4

= 3 - 6 + 4

Vereinfache

= 1

Graph

Beliebte Beispiele

tangent y=x^2+x,(2,-3)

t an g e n t y = x^{2} + x, (2, - 3)

f^'(x)=x^3(x^4-1)

f^{^{'}} (x) = x^{3} (x^{4} - 1)

limit as x approaches 0 of 1/(1+5^{2/x)}

x \to 0 lim (\frac{1}{1 + 5 ^{\frac{2}{x}}})

integral of sin(1/3 x)

\int sin (\frac{1}{3} x) d x

(\partial)/(\partial x)(2sin(3x))

\frac{\partial}{\partial x} (2 sin (3 x))