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 4 of (2x+4)^2

Lösung

\int_{- 1}^{4} (2 x + 4)^{2} d x

Lösung

\frac{860}{3}

+1

Dezimale

286.66666 \dots

Schritte zur Lösung

\int_{- 1}^{4} (2 x + 4)^{2} d x

Multipliziere aus

(2 x + 4)^{2} : 4 x^{2} + 16 x + 16

= \int_{- 1}^{4} 4 x^{2} + 16 x + 16 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_{- 1}^{4} 4 x^{2} d x + \int_{- 1}^{4} 16 x d x + \int_{- 1}^{4} 16 d x

\int_{- 1}^{4} 4 x^{2} d x = \frac{260}{3}

\int_{- 1}^{4} 16 x d x = 120

\int_{- 1}^{4} 16 d x = 80

= \frac{260}{3} + 120 + 80

Vereinfache

\frac{260}{3} + 120 + 80 : \frac{860}{3}

= \frac{860}{3}

Graph

Beliebte Beispiele

derivative of ln((2x/3))

\frac{d}{d x} (ln (\frac{2 x}{3}))

integral of (cos(x))/((sin(x))^2)

\int \frac{cos ( x )}{( sin ( x ) ) ^{2}} d x

derivative of x^2-7x+10

\frac{d}{d x} (x^{2} - 7 x + 10)

(\partial)/(\partial x)(ln(5x+y^3))

\frac{\partial}{\partial x} (ln (5 x + y^{3}))

integral of (x^3+4)/(x+2)

\int \frac{x ^{3} + 4}{x + 2} d x