de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (sinh(x)+x^3)

Lösung

\int (sinh (x) + x^{3}) d x

Lösung

cosh (x) + \frac{x ^{4}}{4} + C

Schritte zur Lösung

\int sinh (x) + x^{3} 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 sinh (x) d x + \int x^{3} d x

\int sinh (x) d x = cosh (x)

\int x^{3} d x = \frac{x ^{4}}{4}

= cosh (x) + \frac{x ^{4}}{4}

Füge eine Konstante zur Lösung hinzu

= cosh (x) + \frac{x ^{4}}{4} + C

Graph

Beliebte Beispiele

integral of (4t)/(1+t^2)

\int \frac{4 t}{1 + t ^{2}} d t

integral of 1/(3x^2-2x+2)

\int \frac{1}{3 x ^{2} - 2 x + 2} d x

integral of 12te^{2t}

\int 12 t e^{2 t} d t

integral of 3(1+6x)^4

\int 3 (1 + 6 x)^{4} d x

integral of 7e^t

\int 7 e^{t} d t