de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (1+tan(x))/(sec(x))

Lösung

\int \frac{1 + tan ( x )}{sec ( x )} d x

Lösung

sin (x) - cos (x) + C

Schritte zur Lösung

\int \frac{1 + tan ( x )}{sec ( x )} d x

Multipliziere aus

\frac{1 + tan ( x )}{sec ( x )} : \frac{1}{sec ( x )} + \frac{tan ( x )}{sec ( x )}

= \int \frac{1}{sec ( x )} + \frac{tan ( x )}{sec ( 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 \frac{1}{sec ( x )} d x + \int \frac{tan ( x )}{sec ( x )} d x

\int \frac{1}{sec ( x )} d x = sin (x)

\int \frac{tan ( x )}{sec ( x )} d x = - cos (x)

= sin (x) - cos (x)

Füge eine Konstante zur Lösung hinzu

= sin (x) - cos (x) + C

Graph

Beliebte Beispiele

integral of e^{t^2}t

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

integral of ((x^2-2x+11))/((x^2+3x-4))

\int \frac{( x ^{2} - 2 x + 11 )}{( x ^{2} + 3 x - 4 )} d x

integral of (5e^{2x})/(7e^{2x)+4}

\int \frac{5 e ^{2 x}}{7 e ^{2 x} + 4} d x

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

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

integral of 2x+ycos(xy)

\int 2 x + y cos (x y) d x