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(5x)+cosh(3x))

Lösung

\int (sinh (5 x) + cosh (3 x)) d x

Lösung

\frac{1}{5} cosh (5 x) + \frac{1}{3} sinh (3 x) + C

Schritte zur Lösung

\int sinh (5 x) + cosh (3 x) 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 (5 x) d x + \int cosh (3 x) d x

\int sinh (5 x) d x = \frac{1}{5} cosh (5 x)

\int cosh (3 x) d x = \frac{1}{3} sinh (3 x)

= \frac{1}{5} cosh (5 x) + \frac{1}{3} sinh (3 x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{5} cosh (5 x) + \frac{1}{3} sinh (3 x) + C

Graph

Beliebte Beispiele

integral of tan^3(7x)

\int tan^{3} (7 x) d x

integral of 10xln(7x)

\int 10 x ln (7 x) d x

integral of 2/(x^2-2x+5)

\int \frac{2}{x ^{2} - 2 x + 5} d x

integral of 5x^4(x^5+2)^9

\int 5 x^{4} (x^{5} + 2)^{9} d x

integral of (2-x)/(sqrt(9-4x^2))

\int \frac{2 - x}{9 - 4 x ^{2}} d x