de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 5x^4+6x+7

Lösung

\int 5 x^{4} + 6 x + 7 d x

Lösung

x^{5} + 3 x^{2} + 7 x + C

Schritte zur Lösung

\int 5 x^{4} + 6 x + 7 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 5 x^{4} d x + \int 6 x d x + \int 7 d x

\int 5 x^{4} d x = x^{5}

\int 6 x d x = 3 x^{2}

\int 7 d x = 7 x

= x^{5} + 3 x^{2} + 7 x

Füge eine Konstante zur Lösung hinzu

= x^{5} + 3 x^{2} + 7 x + C

Graph

Beliebte Beispiele

integral of 9/(x^3)+8x^2

\int \frac{9}{x ^{3}} + 8 x^{2} d x

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

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

integral of (12x+18)/((x+2)(x+4)(x-1))

\int \frac{12 x + 18}{( x + 2 ) ( x + 4 ) ( x - 1 )} d x

integral of (e^x)/(e^{x+1)}

\int \frac{e ^{x}}{e ^{x + 1}} d x

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

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