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 x of (2x-y)

Lösung

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

Lösung

- \frac{x ^{2}}{2} + 2 x^{2}

Schritte zur Lösung

\int_{0}^{x} 2 x - 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_{0}^{x} y d y + \int_{0}^{x} 2 x d y

\int_{0}^{x} y d y = \frac{x ^{2}}{2}

\int_{0}^{x} 2 x d y = 2 x^{2}

= - \frac{x ^{2}}{2} + 2 x^{2}

Beliebte Beispiele

integral of (1+3x)^2

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

sum from n=1 to infinity of arctan(15n)

n = 1 \sum \infty arctan (15 n)

tangent f(x)=6x^2+6,\at x=-2

t an g e n t f (x) = 6 x^{2} + 6, at x = - 2

derivative (3x-1)(x-2)^4

d er i v a t i v e (3 x - 1) (x - 2)^{4}

integral of (x^2)/(sqrt(x^2+18))

\int \frac{x ^{2}}{x ^{2} + 18} d x